(3 + 1)-dimensional topological phases and self-dual quantum geometries encoded on Heegaard surfaces View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-05

AUTHORS

Bianca Dittrich

ABSTRACT

We apply the recently suggested strategy to lift state spaces and operators for (2 + 1)-dimensional topological quantum field theories to state spaces and operators for a (3 + 1)-dimensional TQFT with defects. We start from the (2 + 1)-dimensional TuraevViro theory and obtain a state space, consistent with the state space expected from the Crane-Yetter model with line defects. This work has important applications for quantum gravity as well as the theory of topological phases in (3 + 1) dimensions. It provides a self-dual quantum geometry realization based on a vacuum state peaked on a homogeneously curved geometry. The state spaces and operators we construct here provide also an improved version of the Walker-Wang model, and simplify its analysis considerably. We in particular show that the fusion bases of the (2 + 1)-dimensional theory lead to a rich set of bases for the (3 + 1)-dimensional theory. This includes a quantum deformed spin network basis, which in a loop quantum gravity context diagonalizes spatial geometry operators. We also obtain a dual curvature basis, that diagonalizes the Walker-Wang Hamiltonian. Furthermore, the construction presented here can be generalized to provide state spaces for the recently introduced dichromatic four-dimensional manifold invariants. More... »

PAGES

123

References to SciGraph publications

Journal

TITLE

Journal of High Energy Physics

ISSUE

5

VOLUME

2017

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/jhep05(2017)123

DOI

http://dx.doi.org/10.1007/jhep05(2017)123

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1085566945


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Perimeter Institute", 
          "id": "https://www.grid.ac/institutes/grid.420198.6", 
          "name": [
            "Perimeter Institute for Theoretical Physics, 31 Caroline Street North, N2L 2Y5, Waterloo, Ontario, Canada"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Dittrich", 
        "givenName": "Bianca", 
        "id": "sg:person.015257074653.42", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015257074653.42"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/j.physletb.2015.11.058", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000554469"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0393-0440(95)00028-g", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1001151563"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/31/7/075004", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1001305215"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.aop.2010.08.001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1002040541"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.78.084025", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004741947"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.78.084025", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004741947"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0002-9947-96-01660-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004878306"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.85.044032", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005547383"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.85.044032", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005547383"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00023-015-0455-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005606811", 
          "https://doi.org/10.1007/s00023-015-0455-4"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.531037", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006128799"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.physletb.2009.10.076", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006150775"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.90.104037", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006308091"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.90.104037", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006308091"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/30/9/095015", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007767850"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.82.040302", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007846712"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreva.82.040302", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007846712"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00022-006-1858-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007976967", 
          "https://doi.org/10.1007/s00022-006-1858-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.2759440", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008181906"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/16/2/003", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008481436"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/23/6/012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1010899778"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/23/6/012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1010899778"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/31/24/245009", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011901996"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.90.024058", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013274345"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.90.024058", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013274345"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.83.105026", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015063789"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.83.105026", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015063789"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0003-4916(02)00018-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015449553"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0003-4916(02)00018-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015449553"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevb.90.115119", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1016060267"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevb.90.115119", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1016060267"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0550-3213(95)00150-q", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018883873"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/1367-2630/12/3/033010", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1020695472"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/1367-2630/12/3/033010", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1020695472"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/9/6/004", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1021706637"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1166/asl.2009.1022", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022223497"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.nuclphysb.2015.08.023", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024589598"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/32/13/135003", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1025401902"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/32/11/112001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027190825"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.58.084032", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027496055"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.58.084032", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027496055"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.2803507", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028255051"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0040-9383(92)90015-a", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028642877"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0550-3213(96)00259-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028806659"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.12942/lrr-2013-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032226997", 
          "https://doi.org/10.12942/lrr-2013-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.80.124030", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032618586"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.80.124030", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032618586"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/1367-2630/14/12/123004", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032767841"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.531251", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036054209"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.88.124021", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036840723"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.88.124021", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036840723"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/1367-2630/15/10/103004", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037492125"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/1367-2630/18/5/053009", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038705912"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/1367-2630/16/12/123041", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1039201123"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/29/11/115009", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1040164917"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/jhep11(2016)102", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045810348", 
          "https://doi.org/10.1007/jhep11(2016)102"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/jhep11(2016)102", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045810348", 
          "https://doi.org/10.1007/jhep11(2016)102"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.51.5507", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046434462"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.51.5507", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046434462"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01218410", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046632363", 
          "https://doi.org/10.1007/bf01218410"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01218410", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046632363", 
          "https://doi.org/10.1007/bf01218410"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevb.71.045110", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047264319"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevb.71.045110", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047264319"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/26/22/225011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047351645"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/26/22/225011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047351645"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/32/13/135016", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047589270"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.88.024011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047599804"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.88.024011", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047599804"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10714-014-1802-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1047842427", 
          "https://doi.org/10.1007/s10714-014-1802-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0264-9381/28/6/065006", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1048273690"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.91.084037", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049417111"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.91.084037", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049417111"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.82.064026", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049504373"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.82.064026", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049504373"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00023-016-0535-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049613970", 
          "https://doi.org/10.1007/s00023-016-0535-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s00023-016-0535-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049613970", 
          "https://doi.org/10.1007/s00023-016-0535-0"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevb.90.245122", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050579419"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevb.90.245122", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050579419"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevb.87.045107", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050955212"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevb.87.045107", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050955212"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00398315", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050994907", 
          "https://doi.org/10.1007/bf00398315"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00398315", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050994907", 
          "https://doi.org/10.1007/bf00398315"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.52.5743", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053172502"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.52.5743", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053172502"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01239527", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053649616", 
          "https://doi.org/10.1007/bf01239527"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/1367-2630/aa54e2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059138654"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.36.1587", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060694956"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.36.1587", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060694956"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.92.124031", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060711370"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.92.124031", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060711370"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.94.124050", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060714838"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.94.124050", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060714838"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.57.2244", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060794048"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.57.2244", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060794048"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/s0217751x03017981", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062923066"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1142/s0217751x89000649", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062928705"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4310/atmp.1997.v1.n2.a8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072456883"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4310/atmp.1998.v2.n6.a1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072456925"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4310/atmp.2007.v11.n3.a4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1072457198"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/1361-6382/aa5e13", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1083553066"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/jhep02(2017)061", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1083765649", 
          "https://doi.org/10.1007/jhep02(2017)061"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/jhep02(2017)061", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1083765649", 
          "https://doi.org/10.1007/jhep02(2017)061"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.95.044018", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1083935490"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevd.95.044018", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1083935490"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1515/9781400882533", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1096910407"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1017/cbo9780511755682", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098667355"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1017/cbo9780511755804", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098741993"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2017-05", 
    "datePublishedReg": "2017-05-01", 
    "description": "We apply the recently suggested strategy to lift state spaces and operators for (2 + 1)-dimensional topological quantum field theories to state spaces and operators for a (3 + 1)-dimensional TQFT with defects. We start from the (2 + 1)-dimensional TuraevViro theory and obtain a state space, consistent with the state space expected from the Crane-Yetter model with line defects. This work has important applications for quantum gravity as well as the theory of topological phases in (3 + 1) dimensions. It provides a self-dual quantum geometry realization based on a vacuum state peaked on a homogeneously curved geometry. The state spaces and operators we construct here provide also an improved version of the Walker-Wang model, and simplify its analysis considerably. We in particular show that the fusion bases of the (2 + 1)-dimensional theory lead to a rich set of bases for the (3 + 1)-dimensional theory. This includes a quantum deformed spin network basis, which in a loop quantum gravity context diagonalizes spatial geometry operators. We also obtain a dual curvature basis, that diagonalizes the Walker-Wang Hamiltonian. Furthermore, the construction presented here can be generalized to provide state spaces for the recently introduced dichromatic four-dimensional manifold invariants.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/jhep05(2017)123", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1052482", 
        "issn": [
          "1126-6708", 
          "1029-8479"
        ], 
        "name": "Journal of High Energy Physics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "5", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "2017"
      }
    ], 
    "name": "(3 + 1)-dimensional topological phases and self-dual quantum geometries encoded on Heegaard surfaces", 
    "pagination": "123", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "e0fd0fec664ef9459f83479e447dbd80f7fa098d78cf81b6b929b8ea8db116d5"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/jhep05(2017)123"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1085566945"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/jhep05(2017)123", 
      "https://app.dimensions.ai/details/publication/pub.1085566945"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T22:27", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8690_00000492.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/JHEP05(2017)123"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/jhep05(2017)123'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/jhep05(2017)123'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/jhep05(2017)123'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/jhep05(2017)123'


 

This table displays all metadata directly associated to this object as RDF triples.

296 TRIPLES      21 PREDICATES      102 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/jhep05(2017)123 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author Nbb11d8e59d7944a9a32975aaf6e5b612
4 schema:citation sg:pub.10.1007/bf00398315
5 sg:pub.10.1007/bf01218410
6 sg:pub.10.1007/bf01239527
7 sg:pub.10.1007/jhep02(2017)061
8 sg:pub.10.1007/jhep11(2016)102
9 sg:pub.10.1007/s00022-006-1858-7
10 sg:pub.10.1007/s00023-015-0455-4
11 sg:pub.10.1007/s00023-016-0535-0
12 sg:pub.10.1007/s10714-014-1802-3
13 sg:pub.10.12942/lrr-2013-3
14 https://doi.org/10.1016/0040-9383(92)90015-a
15 https://doi.org/10.1016/0393-0440(95)00028-g
16 https://doi.org/10.1016/0550-3213(95)00150-q
17 https://doi.org/10.1016/0550-3213(96)00259-3
18 https://doi.org/10.1016/j.aop.2010.08.001
19 https://doi.org/10.1016/j.nuclphysb.2015.08.023
20 https://doi.org/10.1016/j.physletb.2009.10.076
21 https://doi.org/10.1016/j.physletb.2015.11.058
22 https://doi.org/10.1016/s0003-4916(02)00018-0
23 https://doi.org/10.1017/cbo9780511755682
24 https://doi.org/10.1017/cbo9780511755804
25 https://doi.org/10.1063/1.2759440
26 https://doi.org/10.1063/1.2803507
27 https://doi.org/10.1063/1.531037
28 https://doi.org/10.1063/1.531251
29 https://doi.org/10.1088/0264-9381/16/2/003
30 https://doi.org/10.1088/0264-9381/23/6/012
31 https://doi.org/10.1088/0264-9381/26/22/225011
32 https://doi.org/10.1088/0264-9381/28/6/065006
33 https://doi.org/10.1088/0264-9381/29/11/115009
34 https://doi.org/10.1088/0264-9381/30/9/095015
35 https://doi.org/10.1088/0264-9381/31/24/245009
36 https://doi.org/10.1088/0264-9381/31/7/075004
37 https://doi.org/10.1088/0264-9381/32/11/112001
38 https://doi.org/10.1088/0264-9381/32/13/135003
39 https://doi.org/10.1088/0264-9381/32/13/135016
40 https://doi.org/10.1088/0264-9381/9/6/004
41 https://doi.org/10.1088/1361-6382/aa5e13
42 https://doi.org/10.1088/1367-2630/12/3/033010
43 https://doi.org/10.1088/1367-2630/14/12/123004
44 https://doi.org/10.1088/1367-2630/15/10/103004
45 https://doi.org/10.1088/1367-2630/16/12/123041
46 https://doi.org/10.1088/1367-2630/18/5/053009
47 https://doi.org/10.1088/1367-2630/aa54e2
48 https://doi.org/10.1090/s0002-9947-96-01660-1
49 https://doi.org/10.1103/physreva.82.040302
50 https://doi.org/10.1103/physrevb.71.045110
51 https://doi.org/10.1103/physrevb.87.045107
52 https://doi.org/10.1103/physrevb.90.115119
53 https://doi.org/10.1103/physrevb.90.245122
54 https://doi.org/10.1103/physrevd.36.1587
55 https://doi.org/10.1103/physrevd.51.5507
56 https://doi.org/10.1103/physrevd.52.5743
57 https://doi.org/10.1103/physrevd.58.084032
58 https://doi.org/10.1103/physrevd.78.084025
59 https://doi.org/10.1103/physrevd.80.124030
60 https://doi.org/10.1103/physrevd.82.064026
61 https://doi.org/10.1103/physrevd.83.105026
62 https://doi.org/10.1103/physrevd.85.044032
63 https://doi.org/10.1103/physrevd.88.024011
64 https://doi.org/10.1103/physrevd.88.124021
65 https://doi.org/10.1103/physrevd.90.024058
66 https://doi.org/10.1103/physrevd.90.104037
67 https://doi.org/10.1103/physrevd.91.084037
68 https://doi.org/10.1103/physrevd.92.124031
69 https://doi.org/10.1103/physrevd.94.124050
70 https://doi.org/10.1103/physrevd.95.044018
71 https://doi.org/10.1103/physrevlett.57.2244
72 https://doi.org/10.1142/s0217751x03017981
73 https://doi.org/10.1142/s0217751x89000649
74 https://doi.org/10.1166/asl.2009.1022
75 https://doi.org/10.1515/9781400882533
76 https://doi.org/10.4310/atmp.1997.v1.n2.a8
77 https://doi.org/10.4310/atmp.1998.v2.n6.a1
78 https://doi.org/10.4310/atmp.2007.v11.n3.a4
79 schema:datePublished 2017-05
80 schema:datePublishedReg 2017-05-01
81 schema:description We apply the recently suggested strategy to lift state spaces and operators for (2 + 1)-dimensional topological quantum field theories to state spaces and operators for a (3 + 1)-dimensional TQFT with defects. We start from the (2 + 1)-dimensional TuraevViro theory and obtain a state space, consistent with the state space expected from the Crane-Yetter model with line defects. This work has important applications for quantum gravity as well as the theory of topological phases in (3 + 1) dimensions. It provides a self-dual quantum geometry realization based on a vacuum state peaked on a homogeneously curved geometry. The state spaces and operators we construct here provide also an improved version of the Walker-Wang model, and simplify its analysis considerably. We in particular show that the fusion bases of the (2 + 1)-dimensional theory lead to a rich set of bases for the (3 + 1)-dimensional theory. This includes a quantum deformed spin network basis, which in a loop quantum gravity context diagonalizes spatial geometry operators. We also obtain a dual curvature basis, that diagonalizes the Walker-Wang Hamiltonian. Furthermore, the construction presented here can be generalized to provide state spaces for the recently introduced dichromatic four-dimensional manifold invariants.
82 schema:genre research_article
83 schema:inLanguage en
84 schema:isAccessibleForFree true
85 schema:isPartOf N242f09764a3e4a6cb1b922d5190c062f
86 N95efb8b3814b4cf995a1ce3d4ce5de5c
87 sg:journal.1052482
88 schema:name (3 + 1)-dimensional topological phases and self-dual quantum geometries encoded on Heegaard surfaces
89 schema:pagination 123
90 schema:productId N0d86811b406e44e09c7ac899c70f0562
91 Nb663c12d377d46a9940c18cb8bbec5e9
92 Ne40084ef616f4199a1b4522804667354
93 schema:sameAs https://app.dimensions.ai/details/publication/pub.1085566945
94 https://doi.org/10.1007/jhep05(2017)123
95 schema:sdDatePublished 2019-04-10T22:27
96 schema:sdLicense https://scigraph.springernature.com/explorer/license/
97 schema:sdPublisher N759de55c2f8f4866bfdafcf618e77dbd
98 schema:url http://link.springer.com/10.1007/JHEP05(2017)123
99 sgo:license sg:explorer/license/
100 sgo:sdDataset articles
101 rdf:type schema:ScholarlyArticle
102 N0d86811b406e44e09c7ac899c70f0562 schema:name doi
103 schema:value 10.1007/jhep05(2017)123
104 rdf:type schema:PropertyValue
105 N242f09764a3e4a6cb1b922d5190c062f schema:issueNumber 5
106 rdf:type schema:PublicationIssue
107 N759de55c2f8f4866bfdafcf618e77dbd schema:name Springer Nature - SN SciGraph project
108 rdf:type schema:Organization
109 N95efb8b3814b4cf995a1ce3d4ce5de5c schema:volumeNumber 2017
110 rdf:type schema:PublicationVolume
111 Nb663c12d377d46a9940c18cb8bbec5e9 schema:name readcube_id
112 schema:value e0fd0fec664ef9459f83479e447dbd80f7fa098d78cf81b6b929b8ea8db116d5
113 rdf:type schema:PropertyValue
114 Nbb11d8e59d7944a9a32975aaf6e5b612 rdf:first sg:person.015257074653.42
115 rdf:rest rdf:nil
116 Ne40084ef616f4199a1b4522804667354 schema:name dimensions_id
117 schema:value pub.1085566945
118 rdf:type schema:PropertyValue
119 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
120 schema:name Mathematical Sciences
121 rdf:type schema:DefinedTerm
122 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
123 schema:name Pure Mathematics
124 rdf:type schema:DefinedTerm
125 sg:journal.1052482 schema:issn 1029-8479
126 1126-6708
127 schema:name Journal of High Energy Physics
128 rdf:type schema:Periodical
129 sg:person.015257074653.42 schema:affiliation https://www.grid.ac/institutes/grid.420198.6
130 schema:familyName Dittrich
131 schema:givenName Bianca
132 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015257074653.42
133 rdf:type schema:Person
134 sg:pub.10.1007/bf00398315 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050994907
135 https://doi.org/10.1007/bf00398315
136 rdf:type schema:CreativeWork
137 sg:pub.10.1007/bf01218410 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046632363
138 https://doi.org/10.1007/bf01218410
139 rdf:type schema:CreativeWork
140 sg:pub.10.1007/bf01239527 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053649616
141 https://doi.org/10.1007/bf01239527
142 rdf:type schema:CreativeWork
143 sg:pub.10.1007/jhep02(2017)061 schema:sameAs https://app.dimensions.ai/details/publication/pub.1083765649
144 https://doi.org/10.1007/jhep02(2017)061
145 rdf:type schema:CreativeWork
146 sg:pub.10.1007/jhep11(2016)102 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045810348
147 https://doi.org/10.1007/jhep11(2016)102
148 rdf:type schema:CreativeWork
149 sg:pub.10.1007/s00022-006-1858-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007976967
150 https://doi.org/10.1007/s00022-006-1858-7
151 rdf:type schema:CreativeWork
152 sg:pub.10.1007/s00023-015-0455-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005606811
153 https://doi.org/10.1007/s00023-015-0455-4
154 rdf:type schema:CreativeWork
155 sg:pub.10.1007/s00023-016-0535-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049613970
156 https://doi.org/10.1007/s00023-016-0535-0
157 rdf:type schema:CreativeWork
158 sg:pub.10.1007/s10714-014-1802-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047842427
159 https://doi.org/10.1007/s10714-014-1802-3
160 rdf:type schema:CreativeWork
161 sg:pub.10.12942/lrr-2013-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032226997
162 https://doi.org/10.12942/lrr-2013-3
163 rdf:type schema:CreativeWork
164 https://doi.org/10.1016/0040-9383(92)90015-a schema:sameAs https://app.dimensions.ai/details/publication/pub.1028642877
165 rdf:type schema:CreativeWork
166 https://doi.org/10.1016/0393-0440(95)00028-g schema:sameAs https://app.dimensions.ai/details/publication/pub.1001151563
167 rdf:type schema:CreativeWork
168 https://doi.org/10.1016/0550-3213(95)00150-q schema:sameAs https://app.dimensions.ai/details/publication/pub.1018883873
169 rdf:type schema:CreativeWork
170 https://doi.org/10.1016/0550-3213(96)00259-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028806659
171 rdf:type schema:CreativeWork
172 https://doi.org/10.1016/j.aop.2010.08.001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002040541
173 rdf:type schema:CreativeWork
174 https://doi.org/10.1016/j.nuclphysb.2015.08.023 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024589598
175 rdf:type schema:CreativeWork
176 https://doi.org/10.1016/j.physletb.2009.10.076 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006150775
177 rdf:type schema:CreativeWork
178 https://doi.org/10.1016/j.physletb.2015.11.058 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000554469
179 rdf:type schema:CreativeWork
180 https://doi.org/10.1016/s0003-4916(02)00018-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015449553
181 rdf:type schema:CreativeWork
182 https://doi.org/10.1017/cbo9780511755682 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098667355
183 rdf:type schema:CreativeWork
184 https://doi.org/10.1017/cbo9780511755804 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098741993
185 rdf:type schema:CreativeWork
186 https://doi.org/10.1063/1.2759440 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008181906
187 rdf:type schema:CreativeWork
188 https://doi.org/10.1063/1.2803507 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028255051
189 rdf:type schema:CreativeWork
190 https://doi.org/10.1063/1.531037 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006128799
191 rdf:type schema:CreativeWork
192 https://doi.org/10.1063/1.531251 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036054209
193 rdf:type schema:CreativeWork
194 https://doi.org/10.1088/0264-9381/16/2/003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008481436
195 rdf:type schema:CreativeWork
196 https://doi.org/10.1088/0264-9381/23/6/012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010899778
197 rdf:type schema:CreativeWork
198 https://doi.org/10.1088/0264-9381/26/22/225011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047351645
199 rdf:type schema:CreativeWork
200 https://doi.org/10.1088/0264-9381/28/6/065006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048273690
201 rdf:type schema:CreativeWork
202 https://doi.org/10.1088/0264-9381/29/11/115009 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040164917
203 rdf:type schema:CreativeWork
204 https://doi.org/10.1088/0264-9381/30/9/095015 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007767850
205 rdf:type schema:CreativeWork
206 https://doi.org/10.1088/0264-9381/31/24/245009 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011901996
207 rdf:type schema:CreativeWork
208 https://doi.org/10.1088/0264-9381/31/7/075004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001305215
209 rdf:type schema:CreativeWork
210 https://doi.org/10.1088/0264-9381/32/11/112001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027190825
211 rdf:type schema:CreativeWork
212 https://doi.org/10.1088/0264-9381/32/13/135003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025401902
213 rdf:type schema:CreativeWork
214 https://doi.org/10.1088/0264-9381/32/13/135016 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047589270
215 rdf:type schema:CreativeWork
216 https://doi.org/10.1088/0264-9381/9/6/004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021706637
217 rdf:type schema:CreativeWork
218 https://doi.org/10.1088/1361-6382/aa5e13 schema:sameAs https://app.dimensions.ai/details/publication/pub.1083553066
219 rdf:type schema:CreativeWork
220 https://doi.org/10.1088/1367-2630/12/3/033010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020695472
221 rdf:type schema:CreativeWork
222 https://doi.org/10.1088/1367-2630/14/12/123004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032767841
223 rdf:type schema:CreativeWork
224 https://doi.org/10.1088/1367-2630/15/10/103004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037492125
225 rdf:type schema:CreativeWork
226 https://doi.org/10.1088/1367-2630/16/12/123041 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039201123
227 rdf:type schema:CreativeWork
228 https://doi.org/10.1088/1367-2630/18/5/053009 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038705912
229 rdf:type schema:CreativeWork
230 https://doi.org/10.1088/1367-2630/aa54e2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059138654
231 rdf:type schema:CreativeWork
232 https://doi.org/10.1090/s0002-9947-96-01660-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004878306
233 rdf:type schema:CreativeWork
234 https://doi.org/10.1103/physreva.82.040302 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007846712
235 rdf:type schema:CreativeWork
236 https://doi.org/10.1103/physrevb.71.045110 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047264319
237 rdf:type schema:CreativeWork
238 https://doi.org/10.1103/physrevb.87.045107 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050955212
239 rdf:type schema:CreativeWork
240 https://doi.org/10.1103/physrevb.90.115119 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016060267
241 rdf:type schema:CreativeWork
242 https://doi.org/10.1103/physrevb.90.245122 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050579419
243 rdf:type schema:CreativeWork
244 https://doi.org/10.1103/physrevd.36.1587 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060694956
245 rdf:type schema:CreativeWork
246 https://doi.org/10.1103/physrevd.51.5507 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046434462
247 rdf:type schema:CreativeWork
248 https://doi.org/10.1103/physrevd.52.5743 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053172502
249 rdf:type schema:CreativeWork
250 https://doi.org/10.1103/physrevd.58.084032 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027496055
251 rdf:type schema:CreativeWork
252 https://doi.org/10.1103/physrevd.78.084025 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004741947
253 rdf:type schema:CreativeWork
254 https://doi.org/10.1103/physrevd.80.124030 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032618586
255 rdf:type schema:CreativeWork
256 https://doi.org/10.1103/physrevd.82.064026 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049504373
257 rdf:type schema:CreativeWork
258 https://doi.org/10.1103/physrevd.83.105026 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015063789
259 rdf:type schema:CreativeWork
260 https://doi.org/10.1103/physrevd.85.044032 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005547383
261 rdf:type schema:CreativeWork
262 https://doi.org/10.1103/physrevd.88.024011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047599804
263 rdf:type schema:CreativeWork
264 https://doi.org/10.1103/physrevd.88.124021 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036840723
265 rdf:type schema:CreativeWork
266 https://doi.org/10.1103/physrevd.90.024058 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013274345
267 rdf:type schema:CreativeWork
268 https://doi.org/10.1103/physrevd.90.104037 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006308091
269 rdf:type schema:CreativeWork
270 https://doi.org/10.1103/physrevd.91.084037 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049417111
271 rdf:type schema:CreativeWork
272 https://doi.org/10.1103/physrevd.92.124031 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060711370
273 rdf:type schema:CreativeWork
274 https://doi.org/10.1103/physrevd.94.124050 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060714838
275 rdf:type schema:CreativeWork
276 https://doi.org/10.1103/physrevd.95.044018 schema:sameAs https://app.dimensions.ai/details/publication/pub.1083935490
277 rdf:type schema:CreativeWork
278 https://doi.org/10.1103/physrevlett.57.2244 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060794048
279 rdf:type schema:CreativeWork
280 https://doi.org/10.1142/s0217751x03017981 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062923066
281 rdf:type schema:CreativeWork
282 https://doi.org/10.1142/s0217751x89000649 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062928705
283 rdf:type schema:CreativeWork
284 https://doi.org/10.1166/asl.2009.1022 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022223497
285 rdf:type schema:CreativeWork
286 https://doi.org/10.1515/9781400882533 schema:sameAs https://app.dimensions.ai/details/publication/pub.1096910407
287 rdf:type schema:CreativeWork
288 https://doi.org/10.4310/atmp.1997.v1.n2.a8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072456883
289 rdf:type schema:CreativeWork
290 https://doi.org/10.4310/atmp.1998.v2.n6.a1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072456925
291 rdf:type schema:CreativeWork
292 https://doi.org/10.4310/atmp.2007.v11.n3.a4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072457198
293 rdf:type schema:CreativeWork
294 https://www.grid.ac/institutes/grid.420198.6 schema:alternateName Perimeter Institute
295 schema:name Perimeter Institute for Theoretical Physics, 31 Caroline Street North, N2L 2Y5, Waterloo, Ontario, Canada
296 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...