Supergravity divergences, supersymmetry and automorphic forms View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2015-08

AUTHORS

Guillaume Bossard, Axel Kleinschmidt

ABSTRACT

We investigate the occurrence of divergences in maximal supergravity in various dimensions from the point of view of supersymmetry constraints on the U-duality invariant threshold functions defining the higher derivative couplings in the effective action. Our method makes use of tensorial differential equations that constrain these couplings. We study in detail the Fourier modes and wave-front sets of the associated automorphic functions and find that they are always associated to special nilpotent orbits. More... »

PAGES

102

References to SciGraph publications

  • 1991. Associated Varieties and Unipotent Representations in HARMONIC ANALYSIS ON REDUCTIVE GROUPS
  • 2015-01. Matching the D6ℛ4 interaction at two-loops in JOURNAL OF HIGH ENERGY PHYSICS
  • 1976. On the Functional Equations Satisfied by Eisenstein Series in NONE
  • 2014-10. Minimal unitary representations from supersymmetry in JOURNAL OF HIGH ENERGY PHYSICS
  • 2006-12. Certain conjectures relating unipotent orbits to automorphic representations in ISRAEL JOURNAL OF MATHEMATICS
  • 2006-01-17. Duality and higher derivative terms in M theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-04. D6ℛ4 amplitudes in various dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-01. Extremal black holes, nilpotent orbits and the true fake superpotential in JOURNAL OF HIGH ENERGY PHYSICS
  • 2000-02. Eisenstein Series and String Thresholds in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2015-07. The two ∇6R4 type invariants and their higher order generalisation in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-06. Eisenstein series for infinite-dimensional U-duality groups in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-07-01. Universal BPS structure of stationary supergravity solutions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-03. ε∇4R4 type invariants and their gradient expansion in JOURNAL OF HIGH ENERGY PHYSICS
  • 1988. Harmonic Analysis on Symmetric Spaces and Applications II in NONE
  • 2013-10. The closed-string 3-loop amplitude and S-duality in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-06. String theory dualities and supergravity divergences in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-03. R4 couplings and automorphic unipotent representations in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep08(2015)102

    DOI

    http://dx.doi.org/10.1007/jhep08(2015)102

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1030123783


    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": "French National Centre for Scientific Research", 
              "id": "https://www.grid.ac/institutes/grid.4444.0", 
              "name": [
                "Centre de Physique Th\u00e9orique, Ecole Polytechnique, CNRS, 91128, Palaiseau cedex, France"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Bossard", 
            "givenName": "Guillaume", 
            "id": "sg:person.014636477715.58", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014636477715.58"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "International Solvay Institutes", 
              "id": "https://www.grid.ac/institutes/grid.425224.7", 
              "name": [
                "Max-Planck-Institut f\u00fcr Gravitationsphysik (Albert-Einstein-Institut), Am M\u00fchlenberg 1, DE-14476, Potsdam, Germany", 
                "International Solvay Institutes, ULB-Campus Plaine CP231, BE-1050, Brussels, Belgium"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Kleinschmidt", 
            "givenName": "Axel", 
            "id": "sg:person.011246217321.97", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011246217321.97"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/978-1-4612-3820-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008241329", 
              "https://doi.org/10.1007/978-1-4612-3820-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4612-3820-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008241329", 
              "https://doi.org/10.1007/978-1-4612-3820-1"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0021-8693(85)90172-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008935723"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0550-3213(97)00645-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009390597"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002200050022", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009542632", 
              "https://doi.org/10.1007/s002200050022"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2006/01/093", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010634736", 
              "https://doi.org/10.1088/1126-6708/2006/01/093"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2006/01/093", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010634736", 
              "https://doi.org/10.1088/1126-6708/2006/01/093"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4612-0455-8_17", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011237757", 
              "https://doi.org/10.1007/978-1-4612-0455-8_17"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4612-0455-8_17", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011237757", 
              "https://doi.org/10.1007/978-1-4612-0455-8_17"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bfb0079929", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013107563", 
              "https://doi.org/10.1007/bfb0079929"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bfb0079929", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013107563", 
              "https://doi.org/10.1007/bfb0079929"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.81.086008", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013325113"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.81.086008", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013325113"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep10(2013)217", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024231209", 
              "https://doi.org/10.1007/jhep10(2013)217"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep07(2015)154", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026275872", 
              "https://doi.org/10.1007/jhep07(2015)154"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep07(2015)154", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026275872", 
              "https://doi.org/10.1007/jhep07(2015)154"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.59.046006", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027441056"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.59.046006", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027441056"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2015)031", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029581429", 
              "https://doi.org/10.1007/jhep01(2015)031"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0550-3213(97)00269-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029924361"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(82)90334-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030304187"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(82)90334-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030304187"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(86)90429-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030920378"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(86)90429-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030920378"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep06(2010)075", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031267846", 
              "https://doi.org/10.1007/jhep06(2010)075"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep06(2010)075", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031267846", 
              "https://doi.org/10.1007/jhep06(2010)075"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02777366", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031608139", 
              "https://doi.org/10.1007/bf02777366"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.78.105019", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032196758"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.78.105019", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032196758"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep04(2015)057", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032411842", 
              "https://doi.org/10.1007/jhep04(2015)057"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep04(2015)057", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032411842", 
              "https://doi.org/10.1007/jhep04(2015)057"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2009/07/003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036421354", 
              "https://doi.org/10.1088/1126-6708/2009/07/003"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2009/07/003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036421354", 
              "https://doi.org/10.1088/1126-6708/2009/07/003"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2010)038", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036425864", 
              "https://doi.org/10.1007/jhep01(2010)038"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2010)038", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036425864", 
              "https://doi.org/10.1007/jhep01(2010)038"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(94)00559-w", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039119436"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep10(2014)008", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043211816", 
              "https://doi.org/10.1007/jhep10(2014)008"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep10(2014)008", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1043211816", 
              "https://doi.org/10.1007/jhep10(2014)008"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0370-2693(98)00554-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044285701"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep03(2015)089", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048060326", 
              "https://doi.org/10.1007/jhep03(2015)089"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep06(2012)054", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049615309", 
              "https://doi.org/10.1007/jhep06(2012)054"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1353/ajm.1996.0051", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050020115"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(95)00487-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050179029"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(79)90331-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052181353"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(79)90331-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052181353"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep03(2010)116", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053233744", 
              "https://doi.org/10.1007/jhep03(2010)116"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep03(2010)116", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053233744", 
              "https://doi.org/10.1007/jhep03(2010)116"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0305004100052403", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053859334"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/s0305004100052610", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053876032"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/1971193", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069676488"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4310/cntp.2009.v3.n4.a5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072459475"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4310/cntp.2010.v4.n3.a2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072459486"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4310/cntp.2014.v8.n1.a2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072459547"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4310/cntp.2015.v9.n2.a3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072459565"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/cbo9780511470905", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1098708043"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2015-08", 
        "datePublishedReg": "2015-08-01", 
        "description": "We investigate the occurrence of divergences in maximal supergravity in various dimensions from the point of view of supersymmetry constraints on the U-duality invariant threshold functions defining the higher derivative couplings in the effective action. Our method makes use of tensorial differential equations that constrain these couplings. We study in detail the Fourier modes and wave-front sets of the associated automorphic functions and find that they are always associated to special nilpotent orbits.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/jhep08(2015)102", 
        "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": "2015"
          }
        ], 
        "name": "Supergravity divergences, supersymmetry and automorphic forms", 
        "pagination": "102", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "8f81c60e8fc810834b0f034d370b14e830f21a1711ca4de6d27ba325cb8bd29d"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/jhep08(2015)102"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1030123783"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/jhep08(2015)102", 
          "https://app.dimensions.ai/details/publication/pub.1030123783"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-10T16:03", 
        "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_8664_00000588.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007/JHEP08(2015)102"
      }
    ]
     

    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(2015)102'

    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(2015)102'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/jhep08(2015)102'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/jhep08(2015)102'


     

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

    203 TRIPLES      21 PREDICATES      65 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/jhep08(2015)102 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N74043325357543d980f00220ea70b6b0
    4 schema:citation sg:pub.10.1007/978-1-4612-0455-8_17
    5 sg:pub.10.1007/978-1-4612-3820-1
    6 sg:pub.10.1007/bf02777366
    7 sg:pub.10.1007/bfb0079929
    8 sg:pub.10.1007/jhep01(2010)038
    9 sg:pub.10.1007/jhep01(2015)031
    10 sg:pub.10.1007/jhep03(2010)116
    11 sg:pub.10.1007/jhep03(2015)089
    12 sg:pub.10.1007/jhep04(2015)057
    13 sg:pub.10.1007/jhep06(2010)075
    14 sg:pub.10.1007/jhep06(2012)054
    15 sg:pub.10.1007/jhep07(2015)154
    16 sg:pub.10.1007/jhep10(2013)217
    17 sg:pub.10.1007/jhep10(2014)008
    18 sg:pub.10.1007/s002200050022
    19 sg:pub.10.1088/1126-6708/2006/01/093
    20 sg:pub.10.1088/1126-6708/2009/07/003
    21 https://doi.org/10.1016/0021-8693(85)90172-3
    22 https://doi.org/10.1016/0550-3213(79)90331-6
    23 https://doi.org/10.1016/0550-3213(82)90334-0
    24 https://doi.org/10.1016/0550-3213(86)90429-3
    25 https://doi.org/10.1016/0550-3213(94)00559-w
    26 https://doi.org/10.1016/0550-3213(95)00487-1
    27 https://doi.org/10.1016/s0370-2693(98)00554-1
    28 https://doi.org/10.1016/s0550-3213(97)00269-1
    29 https://doi.org/10.1016/s0550-3213(97)00645-7
    30 https://doi.org/10.1017/cbo9780511470905
    31 https://doi.org/10.1017/s0305004100052403
    32 https://doi.org/10.1017/s0305004100052610
    33 https://doi.org/10.1103/physrevd.59.046006
    34 https://doi.org/10.1103/physrevd.78.105019
    35 https://doi.org/10.1103/physrevd.81.086008
    36 https://doi.org/10.1353/ajm.1996.0051
    37 https://doi.org/10.2307/1971193
    38 https://doi.org/10.4310/cntp.2009.v3.n4.a5
    39 https://doi.org/10.4310/cntp.2010.v4.n3.a2
    40 https://doi.org/10.4310/cntp.2014.v8.n1.a2
    41 https://doi.org/10.4310/cntp.2015.v9.n2.a3
    42 schema:datePublished 2015-08
    43 schema:datePublishedReg 2015-08-01
    44 schema:description We investigate the occurrence of divergences in maximal supergravity in various dimensions from the point of view of supersymmetry constraints on the U-duality invariant threshold functions defining the higher derivative couplings in the effective action. Our method makes use of tensorial differential equations that constrain these couplings. We study in detail the Fourier modes and wave-front sets of the associated automorphic functions and find that they are always associated to special nilpotent orbits.
    45 schema:genre research_article
    46 schema:inLanguage en
    47 schema:isAccessibleForFree true
    48 schema:isPartOf N5f88c96189fe4bc6a2f1be7c28ec1bd9
    49 Ndf45f9b9d26a43668fee6b048c6baed8
    50 sg:journal.1052482
    51 schema:name Supergravity divergences, supersymmetry and automorphic forms
    52 schema:pagination 102
    53 schema:productId N174860e366064a8c9077a6f456a723fb
    54 N2bdc7ef05a944e7cac82a8b6fc326b23
    55 Nb8db6973150642ebb4d6c1b079aa0bbe
    56 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030123783
    57 https://doi.org/10.1007/jhep08(2015)102
    58 schema:sdDatePublished 2019-04-10T16:03
    59 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    60 schema:sdPublisher N2fd7c634b7574bc8b087aede23c8311b
    61 schema:url http://link.springer.com/10.1007/JHEP08(2015)102
    62 sgo:license sg:explorer/license/
    63 sgo:sdDataset articles
    64 rdf:type schema:ScholarlyArticle
    65 N174860e366064a8c9077a6f456a723fb schema:name readcube_id
    66 schema:value 8f81c60e8fc810834b0f034d370b14e830f21a1711ca4de6d27ba325cb8bd29d
    67 rdf:type schema:PropertyValue
    68 N2947801797c64ab5804fd5d0cb5a9149 rdf:first sg:person.011246217321.97
    69 rdf:rest rdf:nil
    70 N2bdc7ef05a944e7cac82a8b6fc326b23 schema:name doi
    71 schema:value 10.1007/jhep08(2015)102
    72 rdf:type schema:PropertyValue
    73 N2fd7c634b7574bc8b087aede23c8311b schema:name Springer Nature - SN SciGraph project
    74 rdf:type schema:Organization
    75 N5f88c96189fe4bc6a2f1be7c28ec1bd9 schema:volumeNumber 2015
    76 rdf:type schema:PublicationVolume
    77 N74043325357543d980f00220ea70b6b0 rdf:first sg:person.014636477715.58
    78 rdf:rest N2947801797c64ab5804fd5d0cb5a9149
    79 Nb8db6973150642ebb4d6c1b079aa0bbe schema:name dimensions_id
    80 schema:value pub.1030123783
    81 rdf:type schema:PropertyValue
    82 Ndf45f9b9d26a43668fee6b048c6baed8 schema:issueNumber 8
    83 rdf:type schema:PublicationIssue
    84 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    85 schema:name Mathematical Sciences
    86 rdf:type schema:DefinedTerm
    87 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    88 schema:name Pure Mathematics
    89 rdf:type schema:DefinedTerm
    90 sg:journal.1052482 schema:issn 1029-8479
    91 1126-6708
    92 schema:name Journal of High Energy Physics
    93 rdf:type schema:Periodical
    94 sg:person.011246217321.97 schema:affiliation https://www.grid.ac/institutes/grid.425224.7
    95 schema:familyName Kleinschmidt
    96 schema:givenName Axel
    97 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011246217321.97
    98 rdf:type schema:Person
    99 sg:person.014636477715.58 schema:affiliation https://www.grid.ac/institutes/grid.4444.0
    100 schema:familyName Bossard
    101 schema:givenName Guillaume
    102 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014636477715.58
    103 rdf:type schema:Person
    104 sg:pub.10.1007/978-1-4612-0455-8_17 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011237757
    105 https://doi.org/10.1007/978-1-4612-0455-8_17
    106 rdf:type schema:CreativeWork
    107 sg:pub.10.1007/978-1-4612-3820-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008241329
    108 https://doi.org/10.1007/978-1-4612-3820-1
    109 rdf:type schema:CreativeWork
    110 sg:pub.10.1007/bf02777366 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031608139
    111 https://doi.org/10.1007/bf02777366
    112 rdf:type schema:CreativeWork
    113 sg:pub.10.1007/bfb0079929 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013107563
    114 https://doi.org/10.1007/bfb0079929
    115 rdf:type schema:CreativeWork
    116 sg:pub.10.1007/jhep01(2010)038 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036425864
    117 https://doi.org/10.1007/jhep01(2010)038
    118 rdf:type schema:CreativeWork
    119 sg:pub.10.1007/jhep01(2015)031 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029581429
    120 https://doi.org/10.1007/jhep01(2015)031
    121 rdf:type schema:CreativeWork
    122 sg:pub.10.1007/jhep03(2010)116 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053233744
    123 https://doi.org/10.1007/jhep03(2010)116
    124 rdf:type schema:CreativeWork
    125 sg:pub.10.1007/jhep03(2015)089 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048060326
    126 https://doi.org/10.1007/jhep03(2015)089
    127 rdf:type schema:CreativeWork
    128 sg:pub.10.1007/jhep04(2015)057 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032411842
    129 https://doi.org/10.1007/jhep04(2015)057
    130 rdf:type schema:CreativeWork
    131 sg:pub.10.1007/jhep06(2010)075 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031267846
    132 https://doi.org/10.1007/jhep06(2010)075
    133 rdf:type schema:CreativeWork
    134 sg:pub.10.1007/jhep06(2012)054 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049615309
    135 https://doi.org/10.1007/jhep06(2012)054
    136 rdf:type schema:CreativeWork
    137 sg:pub.10.1007/jhep07(2015)154 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026275872
    138 https://doi.org/10.1007/jhep07(2015)154
    139 rdf:type schema:CreativeWork
    140 sg:pub.10.1007/jhep10(2013)217 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024231209
    141 https://doi.org/10.1007/jhep10(2013)217
    142 rdf:type schema:CreativeWork
    143 sg:pub.10.1007/jhep10(2014)008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043211816
    144 https://doi.org/10.1007/jhep10(2014)008
    145 rdf:type schema:CreativeWork
    146 sg:pub.10.1007/s002200050022 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009542632
    147 https://doi.org/10.1007/s002200050022
    148 rdf:type schema:CreativeWork
    149 sg:pub.10.1088/1126-6708/2006/01/093 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010634736
    150 https://doi.org/10.1088/1126-6708/2006/01/093
    151 rdf:type schema:CreativeWork
    152 sg:pub.10.1088/1126-6708/2009/07/003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036421354
    153 https://doi.org/10.1088/1126-6708/2009/07/003
    154 rdf:type schema:CreativeWork
    155 https://doi.org/10.1016/0021-8693(85)90172-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008935723
    156 rdf:type schema:CreativeWork
    157 https://doi.org/10.1016/0550-3213(79)90331-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052181353
    158 rdf:type schema:CreativeWork
    159 https://doi.org/10.1016/0550-3213(82)90334-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030304187
    160 rdf:type schema:CreativeWork
    161 https://doi.org/10.1016/0550-3213(86)90429-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030920378
    162 rdf:type schema:CreativeWork
    163 https://doi.org/10.1016/0550-3213(94)00559-w schema:sameAs https://app.dimensions.ai/details/publication/pub.1039119436
    164 rdf:type schema:CreativeWork
    165 https://doi.org/10.1016/0550-3213(95)00487-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050179029
    166 rdf:type schema:CreativeWork
    167 https://doi.org/10.1016/s0370-2693(98)00554-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044285701
    168 rdf:type schema:CreativeWork
    169 https://doi.org/10.1016/s0550-3213(97)00269-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029924361
    170 rdf:type schema:CreativeWork
    171 https://doi.org/10.1016/s0550-3213(97)00645-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009390597
    172 rdf:type schema:CreativeWork
    173 https://doi.org/10.1017/cbo9780511470905 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098708043
    174 rdf:type schema:CreativeWork
    175 https://doi.org/10.1017/s0305004100052403 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053859334
    176 rdf:type schema:CreativeWork
    177 https://doi.org/10.1017/s0305004100052610 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053876032
    178 rdf:type schema:CreativeWork
    179 https://doi.org/10.1103/physrevd.59.046006 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027441056
    180 rdf:type schema:CreativeWork
    181 https://doi.org/10.1103/physrevd.78.105019 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032196758
    182 rdf:type schema:CreativeWork
    183 https://doi.org/10.1103/physrevd.81.086008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013325113
    184 rdf:type schema:CreativeWork
    185 https://doi.org/10.1353/ajm.1996.0051 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050020115
    186 rdf:type schema:CreativeWork
    187 https://doi.org/10.2307/1971193 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069676488
    188 rdf:type schema:CreativeWork
    189 https://doi.org/10.4310/cntp.2009.v3.n4.a5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072459475
    190 rdf:type schema:CreativeWork
    191 https://doi.org/10.4310/cntp.2010.v4.n3.a2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072459486
    192 rdf:type schema:CreativeWork
    193 https://doi.org/10.4310/cntp.2014.v8.n1.a2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072459547
    194 rdf:type schema:CreativeWork
    195 https://doi.org/10.4310/cntp.2015.v9.n2.a3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072459565
    196 rdf:type schema:CreativeWork
    197 https://www.grid.ac/institutes/grid.425224.7 schema:alternateName International Solvay Institutes
    198 schema:name International Solvay Institutes, ULB-Campus Plaine CP231, BE-1050, Brussels, Belgium
    199 Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), Am Mühlenberg 1, DE-14476, Potsdam, Germany
    200 rdf:type schema:Organization
    201 https://www.grid.ac/institutes/grid.4444.0 schema:alternateName French National Centre for Scientific Research
    202 schema:name Centre de Physique Théorique, Ecole Polytechnique, CNRS, 91128, Palaiseau cedex, France
    203 rdf:type schema:Organization
     




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


    ...