Relation between the 4d superconformal index and the S3 partition function View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2011-09

AUTHORS

Yosuke Imamura

ABSTRACT

A relation between the 4d superconformal index and the S3 partition function is studied with focus on the 4d and 3d actions used in localization. In the case of vanishing Chern-Simons levels and round S3 we explicitly show that the 3d action is obtained from the4d action by dimensional reduction up to terms which do not affect the exact results. By combining this fact and a recent proposal concerning a squashing of S3 and SU(2) Wilson line, we obtain a formula which gives the partition function depending on the Weyl weight of chiral multiplets, real mass parameters, FI parameters, and a squashing parameter as a limit of the index of a parent 4d theory. More... »

PAGES

133

References to SciGraph publications

  • 2007-10. An Index for 4 Dimensional Super Conformal Theories in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2011-06. Elliptic Hypergeometry of Supersymmetric Dualities in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2007-11-16. Counting BPS operators in gauge theories: quivers, syzygies and plethystics in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-03. Exact results for Wilson loops in superconformal Chern-Simons theories with matter in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-03. Notes on SUSY gauge theories on three-sphere in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-03. On the superconformal index of IR fixed points. A holographic check in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-09. From Weak to Strong Coupling in ABJM Theory in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2011-05. SUSY gauge theories on squashed three-spheres in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-05. Calculating the partition function of gauge theories on S3 and AdS/CFT correspondence in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-10. Nonperturbative tests of three-dimensional dualities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-06. Towards the F-theorem: field theories on the three-sphere in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep09(2011)133

    DOI

    http://dx.doi.org/10.1007/jhep09(2011)133

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1023481793


    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": "Tokyo Institute of Technology", 
              "id": "https://www.grid.ac/institutes/grid.32197.3e", 
              "name": [
                "Department of Physics, Tokyo Institute of Technology, 152-8551, Tokyo, Japan"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Imamura", 
            "givenName": "Yosuke", 
            "id": "sg:person.011174604211.20", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011174604211.20"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/jhep05(2011)014", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003742519", 
              "https://doi.org/10.1007/jhep05(2011)014"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep03(2011)127", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010940528", 
              "https://doi.org/10.1007/jhep03(2011)127"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.nuclphysb.2006.03.037", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011263717"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2007/11/050", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013703167", 
              "https://doi.org/10.1088/1126-6708/2007/11/050"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.nuclphysb.2009.08.022", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014592745"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep10(2010)013", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018065582", 
              "https://doi.org/10.1007/jhep10(2010)013"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep10(2010)013", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018065582", 
              "https://doi.org/10.1007/jhep10(2010)013"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.83.046001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023452407"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.83.046001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023452407"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00220-011-1253-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024404931", 
              "https://doi.org/10.1007/s00220-011-1253-6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.nuclphysb.2009.01.028", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027597185"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep03(2011)041", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030328944", 
              "https://doi.org/10.1007/jhep03(2011)041"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep06(2011)102", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032417356", 
              "https://doi.org/10.1007/jhep06(2011)102"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep05(2011)134", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033149720", 
              "https://doi.org/10.1007/jhep05(2011)134"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.physletb.2006.03.045", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035920815"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.nuclphysb.2006.08.012", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1038096027"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00220-011-1218-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1038309539", 
              "https://doi.org/10.1007/s00220-011-1218-9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00220-007-0258-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040519445", 
              "https://doi.org/10.1007/s00220-007-0258-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep03(2010)089", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052358077", 
              "https://doi.org/10.1007/jhep03(2010)089"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep03(2010)089", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052358077", 
              "https://doi.org/10.1007/jhep03(2010)089"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2011-09", 
        "datePublishedReg": "2011-09-01", 
        "description": "A relation between the 4d superconformal index and the S3 partition function is studied with focus on the 4d and 3d actions used in localization. In the case of vanishing Chern-Simons levels and round S3 we explicitly show that the 3d action is obtained from the4d action by dimensional reduction up to terms which do not affect the exact results. By combining this fact and a recent proposal concerning a squashing of S3 and SU(2) Wilson line, we obtain a formula which gives the partition function depending on the Weyl weight of chiral multiplets, real mass parameters, FI parameters, and a squashing parameter as a limit of the index of a parent 4d theory.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/jhep09(2011)133", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1052482", 
            "issn": [
              "1126-6708", 
              "1029-8479"
            ], 
            "name": "Journal of High Energy Physics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "9", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "2011"
          }
        ], 
        "name": "Relation between the 4d superconformal index and the S3 partition function", 
        "pagination": "133", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "6fdff09dd5a8ce88cbbb5a4dc34b9384ebd8066911e5c6c35fbe5f79489317bd"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/jhep09(2011)133"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1023481793"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/jhep09(2011)133", 
          "https://app.dimensions.ai/details/publication/pub.1023481793"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-10T13:16", 
        "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_8659_00000512.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007%2FJHEP09%282011%29133"
      }
    ]
     

    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/jhep09(2011)133'

    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/jhep09(2011)133'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/jhep09(2011)133'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/jhep09(2011)133'


     

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

    123 TRIPLES      21 PREDICATES      44 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/jhep09(2011)133 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author Ne334a8cec6524007a03c4423a2dbbed1
    4 schema:citation sg:pub.10.1007/jhep03(2010)089
    5 sg:pub.10.1007/jhep03(2011)041
    6 sg:pub.10.1007/jhep03(2011)127
    7 sg:pub.10.1007/jhep05(2011)014
    8 sg:pub.10.1007/jhep05(2011)134
    9 sg:pub.10.1007/jhep06(2011)102
    10 sg:pub.10.1007/jhep10(2010)013
    11 sg:pub.10.1007/s00220-007-0258-7
    12 sg:pub.10.1007/s00220-011-1218-9
    13 sg:pub.10.1007/s00220-011-1253-6
    14 sg:pub.10.1088/1126-6708/2007/11/050
    15 https://doi.org/10.1016/j.nuclphysb.2006.03.037
    16 https://doi.org/10.1016/j.nuclphysb.2006.08.012
    17 https://doi.org/10.1016/j.nuclphysb.2009.01.028
    18 https://doi.org/10.1016/j.nuclphysb.2009.08.022
    19 https://doi.org/10.1016/j.physletb.2006.03.045
    20 https://doi.org/10.1103/physrevd.83.046001
    21 schema:datePublished 2011-09
    22 schema:datePublishedReg 2011-09-01
    23 schema:description A relation between the 4d superconformal index and the S3 partition function is studied with focus on the 4d and 3d actions used in localization. In the case of vanishing Chern-Simons levels and round S3 we explicitly show that the 3d action is obtained from the4d action by dimensional reduction up to terms which do not affect the exact results. By combining this fact and a recent proposal concerning a squashing of S3 and SU(2) Wilson line, we obtain a formula which gives the partition function depending on the Weyl weight of chiral multiplets, real mass parameters, FI parameters, and a squashing parameter as a limit of the index of a parent 4d theory.
    24 schema:genre research_article
    25 schema:inLanguage en
    26 schema:isAccessibleForFree true
    27 schema:isPartOf N2a68ba56046b4776bb890668b1b7d215
    28 Nac84b44e53094ccc960de584a3d647da
    29 sg:journal.1052482
    30 schema:name Relation between the 4d superconformal index and the S3 partition function
    31 schema:pagination 133
    32 schema:productId N0eb1fe69ac824afe833cff831176f850
    33 N27316c49e1ea4fe2993c31faa7cb73b8
    34 Nb70d7375c8eb44f592e1cd6283fd03a6
    35 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023481793
    36 https://doi.org/10.1007/jhep09(2011)133
    37 schema:sdDatePublished 2019-04-10T13:16
    38 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    39 schema:sdPublisher N870aa586af4745708ba632933e6be1e2
    40 schema:url http://link.springer.com/10.1007%2FJHEP09%282011%29133
    41 sgo:license sg:explorer/license/
    42 sgo:sdDataset articles
    43 rdf:type schema:ScholarlyArticle
    44 N0eb1fe69ac824afe833cff831176f850 schema:name readcube_id
    45 schema:value 6fdff09dd5a8ce88cbbb5a4dc34b9384ebd8066911e5c6c35fbe5f79489317bd
    46 rdf:type schema:PropertyValue
    47 N27316c49e1ea4fe2993c31faa7cb73b8 schema:name doi
    48 schema:value 10.1007/jhep09(2011)133
    49 rdf:type schema:PropertyValue
    50 N2a68ba56046b4776bb890668b1b7d215 schema:volumeNumber 2011
    51 rdf:type schema:PublicationVolume
    52 N870aa586af4745708ba632933e6be1e2 schema:name Springer Nature - SN SciGraph project
    53 rdf:type schema:Organization
    54 Nac84b44e53094ccc960de584a3d647da schema:issueNumber 9
    55 rdf:type schema:PublicationIssue
    56 Nb70d7375c8eb44f592e1cd6283fd03a6 schema:name dimensions_id
    57 schema:value pub.1023481793
    58 rdf:type schema:PropertyValue
    59 Ne334a8cec6524007a03c4423a2dbbed1 rdf:first sg:person.011174604211.20
    60 rdf:rest rdf:nil
    61 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    62 schema:name Mathematical Sciences
    63 rdf:type schema:DefinedTerm
    64 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    65 schema:name Pure Mathematics
    66 rdf:type schema:DefinedTerm
    67 sg:journal.1052482 schema:issn 1029-8479
    68 1126-6708
    69 schema:name Journal of High Energy Physics
    70 rdf:type schema:Periodical
    71 sg:person.011174604211.20 schema:affiliation https://www.grid.ac/institutes/grid.32197.3e
    72 schema:familyName Imamura
    73 schema:givenName Yosuke
    74 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011174604211.20
    75 rdf:type schema:Person
    76 sg:pub.10.1007/jhep03(2010)089 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052358077
    77 https://doi.org/10.1007/jhep03(2010)089
    78 rdf:type schema:CreativeWork
    79 sg:pub.10.1007/jhep03(2011)041 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030328944
    80 https://doi.org/10.1007/jhep03(2011)041
    81 rdf:type schema:CreativeWork
    82 sg:pub.10.1007/jhep03(2011)127 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010940528
    83 https://doi.org/10.1007/jhep03(2011)127
    84 rdf:type schema:CreativeWork
    85 sg:pub.10.1007/jhep05(2011)014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003742519
    86 https://doi.org/10.1007/jhep05(2011)014
    87 rdf:type schema:CreativeWork
    88 sg:pub.10.1007/jhep05(2011)134 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033149720
    89 https://doi.org/10.1007/jhep05(2011)134
    90 rdf:type schema:CreativeWork
    91 sg:pub.10.1007/jhep06(2011)102 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032417356
    92 https://doi.org/10.1007/jhep06(2011)102
    93 rdf:type schema:CreativeWork
    94 sg:pub.10.1007/jhep10(2010)013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018065582
    95 https://doi.org/10.1007/jhep10(2010)013
    96 rdf:type schema:CreativeWork
    97 sg:pub.10.1007/s00220-007-0258-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040519445
    98 https://doi.org/10.1007/s00220-007-0258-7
    99 rdf:type schema:CreativeWork
    100 sg:pub.10.1007/s00220-011-1218-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038309539
    101 https://doi.org/10.1007/s00220-011-1218-9
    102 rdf:type schema:CreativeWork
    103 sg:pub.10.1007/s00220-011-1253-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024404931
    104 https://doi.org/10.1007/s00220-011-1253-6
    105 rdf:type schema:CreativeWork
    106 sg:pub.10.1088/1126-6708/2007/11/050 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013703167
    107 https://doi.org/10.1088/1126-6708/2007/11/050
    108 rdf:type schema:CreativeWork
    109 https://doi.org/10.1016/j.nuclphysb.2006.03.037 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011263717
    110 rdf:type schema:CreativeWork
    111 https://doi.org/10.1016/j.nuclphysb.2006.08.012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038096027
    112 rdf:type schema:CreativeWork
    113 https://doi.org/10.1016/j.nuclphysb.2009.01.028 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027597185
    114 rdf:type schema:CreativeWork
    115 https://doi.org/10.1016/j.nuclphysb.2009.08.022 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014592745
    116 rdf:type schema:CreativeWork
    117 https://doi.org/10.1016/j.physletb.2006.03.045 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035920815
    118 rdf:type schema:CreativeWork
    119 https://doi.org/10.1103/physrevd.83.046001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023452407
    120 rdf:type schema:CreativeWork
    121 https://www.grid.ac/institutes/grid.32197.3e schema:alternateName Tokyo Institute of Technology
    122 schema:name Department of Physics, Tokyo Institute of Technology, 152-8551, Tokyo, Japan
    123 rdf:type schema:Organization
     




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


    ...