The analytic bootstrap for large N Chern-Simons vector models View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2018-08

AUTHORS

Ofer Aharony, Luis F. Alday, Agnese Bissi, Ran Yacoby

ABSTRACT

Three-dimensional Chern-Simons vector models display an approximate higher spin symmetry in the large N limit. Their single-trace operators consist of a tower of weakly broken currents, as well as a scalar σ of approximate twist 1 or 2. We study the consequences of crossing symmetry for the four-point correlator of σ in a 1/N expansion, using analytic bootstrap techniques. To order 1/N we show that crossing symmetry fixes the contribution from the tower of currents, providing an alternative derivation of well-known results by Maldacena and Zhiboedov. When σ has twist 1 its OPE receives a contribution from the exchange of σ itself with an arbitrary coefficient, due to the existence of a marginal sextic coupling. We develop the machinery to determine the corrections to the OPE data of double-trace operators due to this, and to similar exchanges. This in turns allows us to fix completely the correlator up to three known truncated solutions to crossing. We then proceed to study the problem to order 1/N2. We find that crossing implies the appearance of odd-twist double-trace operators, and calculate their OPE coefficients in a large spin expansion. Also, surprisingly, crossing at order 1/N2, implies non-trivial O(1/N) anomalous dimensions for even-twist double-trace operators, even though such contributions do not appear in the four-point function at order 1/N (in the case where there is no scalar exchange). We argue that this phenomenon arises due to operator mixing. Finally, we analyse the bosonic vector model with a sextic coupling without gauge interactions, and determine the order 1/N2 corrections to the dimensions of twist-2 double-trace operators. More... »

PAGES

166

References to SciGraph publications

  • 2013-08. Diagonal limit for conformal blocks in d dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-05. Notes on spinning operators in fermionic CFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-12. A test of bosonization at the level of four-point functions in Chern-Simons vector models in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-08. Chern–Simons theory with vector fermion matter in THE EUROPEAN PHYSICAL JOURNAL C
  • 2010-09. Higher spin gauge theory and holography: the three-point functions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2005-07-19. Holography in 4D (super) higher spin theories and a test via cubic scalar couplings in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-10-27. Holography from conformal field theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-01. On the higher-spin spectrum in large N Chern-Simons vector models in JOURNAL OF HIGH ENERGY PHYSICS
  • 2007-11-09. Comments on operators with large spin in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-03. The lightcone bootstrap and the spectrum of the 3d Ising CFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-12. Correlation functions of large N Chern-Simons-Matter theories and bosonization in three dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-10. Higher-spin correlators in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-02. Correlators of large N fermionic Chern-Simons vector models in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-11. Convexity and liberation at large spin in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-07. A spacetime derivation of the Lorentzian OPE inversion formula in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-12. The analytic bootstrap and AdS superhorizon locality in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-07. Loops in AdS from conformal field theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-09. Analyticity in spin in conformal theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-12-09. Bounding scalar operator dimensions in 4D CFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-02. Baryons, monopoles and dualities in Chern-Simons-matter theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-01. Quantum gravity from conformal field theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-08. Holographic reconstruction of AdS exchanges from crossing symmetry in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep08(2018)166

    DOI

    http://dx.doi.org/10.1007/jhep08(2018)166

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1106392145


    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/2008/0602", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Ecology", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/06", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Biological Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Weizmann Institute of Science", 
              "id": "https://www.grid.ac/institutes/grid.13992.30", 
              "name": [
                "Department of Particle Physics and Astrophysics, Weizmann Institute of Science, 7610001, Rehovot, Israel"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Aharony", 
            "givenName": "Ofer", 
            "id": "sg:person.07543154547.08", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07543154547.08"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "University of Oxford", 
              "id": "https://www.grid.ac/institutes/grid.4991.5", 
              "name": [
                "Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, OX2 6GG, Oxford, U.K."
              ], 
              "type": "Organization"
            }, 
            "familyName": "Alday", 
            "givenName": "Luis F.", 
            "id": "sg:person.012721511661.95", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012721511661.95"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Uppsala University", 
              "id": "https://www.grid.ac/institutes/grid.8993.b", 
              "name": [
                "Department of Physics and Astronomy, Uppsala University, Box 516, SE-75120, Uppsala, Sweden"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Bissi", 
            "givenName": "Agnese", 
            "id": "sg:person.013341330657.96", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013341330657.96"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Weizmann Institute of Science", 
              "id": "https://www.grid.ac/institutes/grid.13992.30", 
              "name": [
                "Department of Particle Physics and Astrophysics, Weizmann Institute of Science, 7610001, Rehovot, Israel"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Yacoby", 
            "givenName": "Ran", 
            "id": "sg:person.012332362733.33", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012332362733.33"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1088/1126-6708/2008/12/031", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002615366", 
              "https://doi.org/10.1088/1126-6708/2008/12/031"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/46/21/214011", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007147027"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep02(2013)150", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010358413", 
              "https://doi.org/10.1007/jhep02(2013)150"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep11(2013)140", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010554845", 
              "https://doi.org/10.1007/jhep11(2013)140"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep12(2013)004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013561623", 
              "https://doi.org/10.1007/jhep12(2013)004"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep12(2013)004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013561623", 
              "https://doi.org/10.1007/jhep12(2013)004"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep12(2015)032", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1015478153", 
              "https://doi.org/10.1007/jhep12(2015)032"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep12(2015)032", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1015478153", 
              "https://doi.org/10.1007/jhep12(2015)032"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2017)058", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016616027", 
              "https://doi.org/10.1007/jhep01(2017)058"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2017)058", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016616027", 
              "https://doi.org/10.1007/jhep01(2017)058"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep10(2013)202", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019307166", 
              "https://doi.org/10.1007/jhep10(2013)202"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/46/21/214009", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023724732"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep08(2013)014", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025693258", 
              "https://doi.org/10.1007/jhep08(2013)014"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2007/11/019", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029426043", 
              "https://doi.org/10.1088/1126-6708/2007/11/019"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0003-4916(73)90446-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031873963"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0264-9381/30/10/104003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032580364"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1140/epjc/s10052-012-2112-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033339609", 
              "https://doi.org/10.1140/epjc/s10052-012-2112-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep12(2012)028", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040142934", 
              "https://doi.org/10.1007/jhep12(2012)028"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep09(2010)115", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040903261", 
              "https://doi.org/10.1007/jhep09(2010)115"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep02(2016)093", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045499496", 
              "https://doi.org/10.1007/jhep02(2016)093"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0550-3213(01)00013-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046459085"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2005/07/044", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046945677", 
              "https://doi.org/10.1088/1126-6708/2005/07/044"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2005/07/044", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046945677", 
              "https://doi.org/10.1088/1126-6708/2005/07/044"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(92)91457-k", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048553019"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(92)91457-k", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048553019"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2009/10/079", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050036855", 
              "https://doi.org/10.1088/1126-6708/2009/10/079"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2009/10/079", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050036855", 
              "https://doi.org/10.1088/1126-6708/2009/10/079"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0370-2693(02)02980-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052327865"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0370-2693(02)02980-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052327865"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(77)90238-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052336778"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(77)90238-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052336778"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep03(2017)086", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1084017766", 
              "https://doi.org/10.1007/jhep03(2017)086"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep05(2017)041", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1085383756", 
              "https://doi.org/10.1007/jhep05(2017)041"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep07(2017)036", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1090599739", 
              "https://doi.org/10.1007/jhep07(2017)036"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep08(2017)147", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1091419702", 
              "https://doi.org/10.1007/jhep08(2017)147"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.119.111601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1091676725"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.119.111601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1091676725"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep09(2017)078", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1091843588", 
              "https://doi.org/10.1007/jhep09(2017)078"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.119.171601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1092391698"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.119.171601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1092391698"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2018)035", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1100316317", 
              "https://doi.org/10.1007/jhep01(2018)035"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep07(2018)085", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1105552348", 
              "https://doi.org/10.1007/jhep07(2018)085"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2018-08", 
        "datePublishedReg": "2018-08-01", 
        "description": "Three-dimensional Chern-Simons vector models display an approximate higher spin symmetry in the large N limit. Their single-trace operators consist of a tower of weakly broken currents, as well as a scalar \u03c3 of approximate twist 1 or 2. We study the consequences of crossing symmetry for the four-point correlator of \u03c3 in a 1/N expansion, using analytic bootstrap techniques. To order 1/N we show that crossing symmetry fixes the contribution from the tower of currents, providing an alternative derivation of well-known results by Maldacena and Zhiboedov. When \u03c3 has twist 1 its OPE receives a contribution from the exchange of \u03c3 itself with an arbitrary coefficient, due to the existence of a marginal sextic coupling. We develop the machinery to determine the corrections to the OPE data of double-trace operators due to this, and to similar exchanges. This in turns allows us to fix completely the correlator up to three known truncated solutions to crossing. We then proceed to study the problem to order 1/N2. We find that crossing implies the appearance of odd-twist double-trace operators, and calculate their OPE coefficients in a large spin expansion. Also, surprisingly, crossing at order 1/N2, implies non-trivial O(1/N) anomalous dimensions for even-twist double-trace operators, even though such contributions do not appear in the four-point function at order 1/N (in the case where there is no scalar exchange). We argue that this phenomenon arises due to operator mixing. Finally, we analyse the bosonic vector model with a sextic coupling without gauge interactions, and determine the order 1/N2 corrections to the dimensions of twist-2 double-trace operators.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/jhep08(2018)166", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1052482", 
            "issn": [
              "1126-6708", 
              "1029-8479"
            ], 
            "name": "Journal of High Energy Physics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "8", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "2018"
          }
        ], 
        "name": "The analytic bootstrap for large N Chern-Simons vector models", 
        "pagination": "166", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "e65db17b67e90126d0fa92f5ceff9a4dd0ce7cf9d2efe3d7513f605a7187a595"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/jhep08(2018)166"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1106392145"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/jhep08(2018)166", 
          "https://app.dimensions.ai/details/publication/pub.1106392145"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-10T19:53", 
        "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_8681_00000494.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007/JHEP08(2018)166"
      }
    ]
     

    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/jhep08(2018)166'

    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/jhep08(2018)166'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/jhep08(2018)166'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/jhep08(2018)166'


     

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

    206 TRIPLES      21 PREDICATES      59 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/jhep08(2018)166 schema:about anzsrc-for:06
    2 anzsrc-for:0602
    3 schema:author N254cacefdddf4598a8a54ef317d67818
    4 schema:citation sg:pub.10.1007/jhep01(2017)058
    5 sg:pub.10.1007/jhep01(2018)035
    6 sg:pub.10.1007/jhep02(2013)150
    7 sg:pub.10.1007/jhep02(2016)093
    8 sg:pub.10.1007/jhep03(2017)086
    9 sg:pub.10.1007/jhep05(2017)041
    10 sg:pub.10.1007/jhep07(2017)036
    11 sg:pub.10.1007/jhep07(2018)085
    12 sg:pub.10.1007/jhep08(2013)014
    13 sg:pub.10.1007/jhep08(2017)147
    14 sg:pub.10.1007/jhep09(2010)115
    15 sg:pub.10.1007/jhep09(2017)078
    16 sg:pub.10.1007/jhep10(2013)202
    17 sg:pub.10.1007/jhep11(2013)140
    18 sg:pub.10.1007/jhep12(2012)028
    19 sg:pub.10.1007/jhep12(2013)004
    20 sg:pub.10.1007/jhep12(2015)032
    21 sg:pub.10.1088/1126-6708/2005/07/044
    22 sg:pub.10.1088/1126-6708/2007/11/019
    23 sg:pub.10.1088/1126-6708/2008/12/031
    24 sg:pub.10.1088/1126-6708/2009/10/079
    25 sg:pub.10.1140/epjc/s10052-012-2112-0
    26 https://doi.org/10.1016/0003-4916(73)90446-6
    27 https://doi.org/10.1016/0370-2693(92)91457-k
    28 https://doi.org/10.1016/0550-3213(77)90238-3
    29 https://doi.org/10.1016/s0370-2693(02)02980-5
    30 https://doi.org/10.1016/s0550-3213(01)00013-x
    31 https://doi.org/10.1088/0264-9381/30/10/104003
    32 https://doi.org/10.1088/1751-8113/46/21/214009
    33 https://doi.org/10.1088/1751-8113/46/21/214011
    34 https://doi.org/10.1103/physrevlett.119.111601
    35 https://doi.org/10.1103/physrevlett.119.171601
    36 schema:datePublished 2018-08
    37 schema:datePublishedReg 2018-08-01
    38 schema:description Three-dimensional Chern-Simons vector models display an approximate higher spin symmetry in the large N limit. Their single-trace operators consist of a tower of weakly broken currents, as well as a scalar σ of approximate twist 1 or 2. We study the consequences of crossing symmetry for the four-point correlator of σ in a 1/N expansion, using analytic bootstrap techniques. To order 1/N we show that crossing symmetry fixes the contribution from the tower of currents, providing an alternative derivation of well-known results by Maldacena and Zhiboedov. When σ has twist 1 its OPE receives a contribution from the exchange of σ itself with an arbitrary coefficient, due to the existence of a marginal sextic coupling. We develop the machinery to determine the corrections to the OPE data of double-trace operators due to this, and to similar exchanges. This in turns allows us to fix completely the correlator up to three known truncated solutions to crossing. We then proceed to study the problem to order 1/N2. We find that crossing implies the appearance of odd-twist double-trace operators, and calculate their OPE coefficients in a large spin expansion. Also, surprisingly, crossing at order 1/N2, implies non-trivial O(1/N) anomalous dimensions for even-twist double-trace operators, even though such contributions do not appear in the four-point function at order 1/N (in the case where there is no scalar exchange). We argue that this phenomenon arises due to operator mixing. Finally, we analyse the bosonic vector model with a sextic coupling without gauge interactions, and determine the order 1/N2 corrections to the dimensions of twist-2 double-trace operators.
    39 schema:genre research_article
    40 schema:inLanguage en
    41 schema:isAccessibleForFree true
    42 schema:isPartOf N35078063a92f46109d6199e95c9613a3
    43 N9dd0aa0729fb479589fd00a5fbbe823f
    44 sg:journal.1052482
    45 schema:name The analytic bootstrap for large N Chern-Simons vector models
    46 schema:pagination 166
    47 schema:productId N6d8355b4140b4574bf7fa12821935176
    48 Ndd82dae2354f41088d2721c3eab5bbda
    49 Ne4cf56705fda4233ac32aed72dc893c5
    50 schema:sameAs https://app.dimensions.ai/details/publication/pub.1106392145
    51 https://doi.org/10.1007/jhep08(2018)166
    52 schema:sdDatePublished 2019-04-10T19:53
    53 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    54 schema:sdPublisher N4d55b18e2fca41cfa92293fea6706e00
    55 schema:url http://link.springer.com/10.1007/JHEP08(2018)166
    56 sgo:license sg:explorer/license/
    57 sgo:sdDataset articles
    58 rdf:type schema:ScholarlyArticle
    59 N108dbb17d4694d9cbcc9841b64dd21b5 rdf:first sg:person.013341330657.96
    60 rdf:rest Nd674a27c043f4cc1b2aeb37048dfd7b3
    61 N254cacefdddf4598a8a54ef317d67818 rdf:first sg:person.07543154547.08
    62 rdf:rest N386e2fb4e6e943258b35ab5ed28d0973
    63 N35078063a92f46109d6199e95c9613a3 schema:issueNumber 8
    64 rdf:type schema:PublicationIssue
    65 N386e2fb4e6e943258b35ab5ed28d0973 rdf:first sg:person.012721511661.95
    66 rdf:rest N108dbb17d4694d9cbcc9841b64dd21b5
    67 N4d55b18e2fca41cfa92293fea6706e00 schema:name Springer Nature - SN SciGraph project
    68 rdf:type schema:Organization
    69 N6d8355b4140b4574bf7fa12821935176 schema:name dimensions_id
    70 schema:value pub.1106392145
    71 rdf:type schema:PropertyValue
    72 N9dd0aa0729fb479589fd00a5fbbe823f schema:volumeNumber 2018
    73 rdf:type schema:PublicationVolume
    74 Nd674a27c043f4cc1b2aeb37048dfd7b3 rdf:first sg:person.012332362733.33
    75 rdf:rest rdf:nil
    76 Ndd82dae2354f41088d2721c3eab5bbda schema:name readcube_id
    77 schema:value e65db17b67e90126d0fa92f5ceff9a4dd0ce7cf9d2efe3d7513f605a7187a595
    78 rdf:type schema:PropertyValue
    79 Ne4cf56705fda4233ac32aed72dc893c5 schema:name doi
    80 schema:value 10.1007/jhep08(2018)166
    81 rdf:type schema:PropertyValue
    82 anzsrc-for:06 schema:inDefinedTermSet anzsrc-for:
    83 schema:name Biological Sciences
    84 rdf:type schema:DefinedTerm
    85 anzsrc-for:0602 schema:inDefinedTermSet anzsrc-for:
    86 schema:name Ecology
    87 rdf:type schema:DefinedTerm
    88 sg:journal.1052482 schema:issn 1029-8479
    89 1126-6708
    90 schema:name Journal of High Energy Physics
    91 rdf:type schema:Periodical
    92 sg:person.012332362733.33 schema:affiliation https://www.grid.ac/institutes/grid.13992.30
    93 schema:familyName Yacoby
    94 schema:givenName Ran
    95 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012332362733.33
    96 rdf:type schema:Person
    97 sg:person.012721511661.95 schema:affiliation https://www.grid.ac/institutes/grid.4991.5
    98 schema:familyName Alday
    99 schema:givenName Luis F.
    100 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012721511661.95
    101 rdf:type schema:Person
    102 sg:person.013341330657.96 schema:affiliation https://www.grid.ac/institutes/grid.8993.b
    103 schema:familyName Bissi
    104 schema:givenName Agnese
    105 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013341330657.96
    106 rdf:type schema:Person
    107 sg:person.07543154547.08 schema:affiliation https://www.grid.ac/institutes/grid.13992.30
    108 schema:familyName Aharony
    109 schema:givenName Ofer
    110 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07543154547.08
    111 rdf:type schema:Person
    112 sg:pub.10.1007/jhep01(2017)058 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016616027
    113 https://doi.org/10.1007/jhep01(2017)058
    114 rdf:type schema:CreativeWork
    115 sg:pub.10.1007/jhep01(2018)035 schema:sameAs https://app.dimensions.ai/details/publication/pub.1100316317
    116 https://doi.org/10.1007/jhep01(2018)035
    117 rdf:type schema:CreativeWork
    118 sg:pub.10.1007/jhep02(2013)150 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010358413
    119 https://doi.org/10.1007/jhep02(2013)150
    120 rdf:type schema:CreativeWork
    121 sg:pub.10.1007/jhep02(2016)093 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045499496
    122 https://doi.org/10.1007/jhep02(2016)093
    123 rdf:type schema:CreativeWork
    124 sg:pub.10.1007/jhep03(2017)086 schema:sameAs https://app.dimensions.ai/details/publication/pub.1084017766
    125 https://doi.org/10.1007/jhep03(2017)086
    126 rdf:type schema:CreativeWork
    127 sg:pub.10.1007/jhep05(2017)041 schema:sameAs https://app.dimensions.ai/details/publication/pub.1085383756
    128 https://doi.org/10.1007/jhep05(2017)041
    129 rdf:type schema:CreativeWork
    130 sg:pub.10.1007/jhep07(2017)036 schema:sameAs https://app.dimensions.ai/details/publication/pub.1090599739
    131 https://doi.org/10.1007/jhep07(2017)036
    132 rdf:type schema:CreativeWork
    133 sg:pub.10.1007/jhep07(2018)085 schema:sameAs https://app.dimensions.ai/details/publication/pub.1105552348
    134 https://doi.org/10.1007/jhep07(2018)085
    135 rdf:type schema:CreativeWork
    136 sg:pub.10.1007/jhep08(2013)014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025693258
    137 https://doi.org/10.1007/jhep08(2013)014
    138 rdf:type schema:CreativeWork
    139 sg:pub.10.1007/jhep08(2017)147 schema:sameAs https://app.dimensions.ai/details/publication/pub.1091419702
    140 https://doi.org/10.1007/jhep08(2017)147
    141 rdf:type schema:CreativeWork
    142 sg:pub.10.1007/jhep09(2010)115 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040903261
    143 https://doi.org/10.1007/jhep09(2010)115
    144 rdf:type schema:CreativeWork
    145 sg:pub.10.1007/jhep09(2017)078 schema:sameAs https://app.dimensions.ai/details/publication/pub.1091843588
    146 https://doi.org/10.1007/jhep09(2017)078
    147 rdf:type schema:CreativeWork
    148 sg:pub.10.1007/jhep10(2013)202 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019307166
    149 https://doi.org/10.1007/jhep10(2013)202
    150 rdf:type schema:CreativeWork
    151 sg:pub.10.1007/jhep11(2013)140 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010554845
    152 https://doi.org/10.1007/jhep11(2013)140
    153 rdf:type schema:CreativeWork
    154 sg:pub.10.1007/jhep12(2012)028 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040142934
    155 https://doi.org/10.1007/jhep12(2012)028
    156 rdf:type schema:CreativeWork
    157 sg:pub.10.1007/jhep12(2013)004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013561623
    158 https://doi.org/10.1007/jhep12(2013)004
    159 rdf:type schema:CreativeWork
    160 sg:pub.10.1007/jhep12(2015)032 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015478153
    161 https://doi.org/10.1007/jhep12(2015)032
    162 rdf:type schema:CreativeWork
    163 sg:pub.10.1088/1126-6708/2005/07/044 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046945677
    164 https://doi.org/10.1088/1126-6708/2005/07/044
    165 rdf:type schema:CreativeWork
    166 sg:pub.10.1088/1126-6708/2007/11/019 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029426043
    167 https://doi.org/10.1088/1126-6708/2007/11/019
    168 rdf:type schema:CreativeWork
    169 sg:pub.10.1088/1126-6708/2008/12/031 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002615366
    170 https://doi.org/10.1088/1126-6708/2008/12/031
    171 rdf:type schema:CreativeWork
    172 sg:pub.10.1088/1126-6708/2009/10/079 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050036855
    173 https://doi.org/10.1088/1126-6708/2009/10/079
    174 rdf:type schema:CreativeWork
    175 sg:pub.10.1140/epjc/s10052-012-2112-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033339609
    176 https://doi.org/10.1140/epjc/s10052-012-2112-0
    177 rdf:type schema:CreativeWork
    178 https://doi.org/10.1016/0003-4916(73)90446-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031873963
    179 rdf:type schema:CreativeWork
    180 https://doi.org/10.1016/0370-2693(92)91457-k schema:sameAs https://app.dimensions.ai/details/publication/pub.1048553019
    181 rdf:type schema:CreativeWork
    182 https://doi.org/10.1016/0550-3213(77)90238-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052336778
    183 rdf:type schema:CreativeWork
    184 https://doi.org/10.1016/s0370-2693(02)02980-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052327865
    185 rdf:type schema:CreativeWork
    186 https://doi.org/10.1016/s0550-3213(01)00013-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1046459085
    187 rdf:type schema:CreativeWork
    188 https://doi.org/10.1088/0264-9381/30/10/104003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032580364
    189 rdf:type schema:CreativeWork
    190 https://doi.org/10.1088/1751-8113/46/21/214009 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023724732
    191 rdf:type schema:CreativeWork
    192 https://doi.org/10.1088/1751-8113/46/21/214011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007147027
    193 rdf:type schema:CreativeWork
    194 https://doi.org/10.1103/physrevlett.119.111601 schema:sameAs https://app.dimensions.ai/details/publication/pub.1091676725
    195 rdf:type schema:CreativeWork
    196 https://doi.org/10.1103/physrevlett.119.171601 schema:sameAs https://app.dimensions.ai/details/publication/pub.1092391698
    197 rdf:type schema:CreativeWork
    198 https://www.grid.ac/institutes/grid.13992.30 schema:alternateName Weizmann Institute of Science
    199 schema:name Department of Particle Physics and Astrophysics, Weizmann Institute of Science, 7610001, Rehovot, Israel
    200 rdf:type schema:Organization
    201 https://www.grid.ac/institutes/grid.4991.5 schema:alternateName University of Oxford
    202 schema:name Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, OX2 6GG, Oxford, U.K.
    203 rdf:type schema:Organization
    204 https://www.grid.ac/institutes/grid.8993.b schema:alternateName Uppsala University
    205 schema:name Department of Physics and Astronomy, Uppsala University, Box 516, SE-75120, Uppsala, Sweden
    206 rdf:type schema:Organization
     




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


    ...