Line Operator Index on S1 × S3 View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2012-05

AUTHORS

Dongmin Gang, Eunkyung Koh, Kimyeong Lee

ABSTRACT

We derive a general formula of an index for superconformal field theories on S1 × S3 with insertions of BPS Wilson line or ’t Hooft line operator at the north pole and their anti-counterpart at the south pole of S3. One-loop and monopole bubbling effects are taken into account in the computation. As examples, we calculate the indices for theories and SU(2) theory with Nf = 4, and find good agreements between indices of line operators related by S-duality. The relation between Verlinde loop operators and the indices is explored. The holographic correspondence between the fundamental (anti- symmetric) Wilson line operator and the fundamental string (D5 brane) in AdS5 × S5 is confirmed by the index comparison. More... »

PAGES

7

References to SciGraph publications

  • 2007-10. An Index for 4 Dimensional Super Conformal Theories in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2012-04. Superconformal Indices of SYM Field Theories in LETTERS IN MATHEMATICAL PHYSICS
  • 2005-02-05. All-genus calculation of Wilson loops using D-branes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2012-04. Line operators on and quantization of the Hitchin moduli space in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-03. S-duality and 2d topological QFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-08. 4D and 2D superconformal index with surface operator in JOURNAL OF HIGH ENERGY PHYSICS
  • 2006-05-11. Wilson loops of anti-symmetric representation and D5-branes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-01. Charges of monopole operators in Chern-Simons Yang-Mills theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-01. Loop and surface operators in gauge theory and Liouville modular geometry 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
  • 2002-11-20. 𝒩 = 4 SYM on R × S3 and PP-Wave in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-11. ’t Hooft operators in gauge theory from Toda CFT in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-06. Elliptic Hypergeometry of Supersymmetric Dualities in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2010-03. Exact results for Wilson loops in superconformal Chern-Simons theories with matter in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-09. Relation between the 4d superconformal index and the S3 partition function in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-02. Liouville Correlation Functions from Four-Dimensional Gauge Theories in LETTERS IN MATHEMATICAL PHYSICS
  • 2001-11. Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity in THE EUROPEAN PHYSICAL JOURNAL C
  • 2011-11. Localization of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} = 4 $\end{document} superconformal field theory on S1 × S3 and index in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-04. Index for three dimensional superconformal field theories with general R-charge assignments in JOURNAL OF HIGH ENERGY PHYSICS
  • 2008-10-23. 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals in JOURNAL OF HIGH ENERGY PHYSICS
  • 2006-10-03. 𝒩 = 4 SYM on R × S3 and theories with 16 supercharges in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-05. The spectrum of excitations of holographic Wilson loops in JOURNAL OF HIGH ENERGY PHYSICS
  • 2010-02. Gauge theory loop operators and Liouville theory in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep05(2012)007

    DOI

    http://dx.doi.org/10.1007/jhep05(2012)007

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1046384564


    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": "Korea Institute for Advanced Study", 
              "id": "https://www.grid.ac/institutes/grid.249961.1", 
              "name": [
                "Korea Institute for Advanced Study, 130-012, Seoul, Korea"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Gang", 
            "givenName": "Dongmin", 
            "id": "sg:person.015662425413.33", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015662425413.33"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Korea Institute for Advanced Study", 
              "id": "https://www.grid.ac/institutes/grid.249961.1", 
              "name": [
                "Korea Institute for Advanced Study, 130-012, Seoul, Korea"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Koh", 
            "givenName": "Eunkyung", 
            "id": "sg:person.013227710045.15", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013227710045.15"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Korea Institute for Advanced Study", 
              "id": "https://www.grid.ac/institutes/grid.249961.1", 
              "name": [
                "Korea Institute for Advanced Study, 130-012, Seoul, Korea"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Lee", 
            "givenName": "Kimyeong", 
            "id": "sg:person.014456763201.13", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014456763201.13"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/jhep08(2011)084", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000472410", 
              "https://doi.org/10.1007/jhep08(2011)084"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2002/11/043", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006369764", 
              "https://doi.org/10.1088/1126-6708/2002/11/043"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.80.4859", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007011098"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.80.4859", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007011098"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.nuclphysb.2009.06.025", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010038002"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2008/10/091", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1010633015", 
              "https://doi.org/10.1088/1126-6708/2008/10/091"
            ], 
            "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.10.1007/s100520100799", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014500875", 
              "https://doi.org/10.1007/s100520100799"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep05(2011)018", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016322596", 
              "https://doi.org/10.1007/jhep05(2011)018"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.54.6351", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020188517"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.54.6351", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020188517"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11005-011-0537-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021401420", 
              "https://doi.org/10.1007/s11005-011-0537-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(84)90013-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022470121"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(84)90013-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022470121"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11005-010-0369-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022882223", 
              "https://doi.org/10.1007/s11005-010-0369-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s11005-010-0369-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022882223", 
              "https://doi.org/10.1007/s11005-010-0369-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep09(2011)133", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023481793", 
              "https://doi.org/10.1007/jhep09(2011)133"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep03(2010)032", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025314613", 
              "https://doi.org/10.1007/jhep03(2010)032"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep03(2010)032", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025314613", 
              "https://doi.org/10.1007/jhep03(2010)032"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep02(2010)057", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026825461", 
              "https://doi.org/10.1007/jhep02(2010)057"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep02(2010)057", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026825461", 
              "https://doi.org/10.1007/jhep02(2010)057"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep04(2011)007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027488820", 
              "https://doi.org/10.1007/jhep04(2011)007"
            ], 
            "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.10.1088/1126-6708/2005/02/010", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029593972", 
              "https://doi.org/10.1088/1126-6708/2005/02/010"
            ], 
            "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/jhep04(2012)010", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033447502", 
              "https://doi.org/10.1007/jhep04(2012)010"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2006/05/037", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033640111", 
              "https://doi.org/10.1088/1126-6708/2006/05/037"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2006/10/007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033705351", 
              "https://doi.org/10.1088/1126-6708/2006/10/007"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2010)110", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036695386", 
              "https://doi.org/10.1007/jhep01(2010)110"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2010)110", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036695386", 
              "https://doi.org/10.1007/jhep01(2010)110"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep11(2011)114", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036903475", 
              "https://doi.org/10.1007/jhep11(2011)114"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.106.241602", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037724162"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.106.241602", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037724162"
            ], 
            "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/jhep11(2011)144", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039673636", 
              "https://doi.org/10.1007/jhep11(2011)144"
            ], 
            "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": "https://doi.org/10.1103/physrevd.74.025005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045736403"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.74.025005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045736403"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.76.105013", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048779792"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.76.105013", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048779792"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.physletb.2011.09.007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049838449"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2010)113", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051074521", 
              "https://doi.org/10.1007/jhep01(2010)113"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep01(2010)113", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051074521", 
              "https://doi.org/10.1007/jhep01(2010)113"
            ], 
            "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"
          }, 
          {
            "id": "https://doi.org/10.4310/atmp.1998.v2.n2.a1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072456893"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4310/atmp.2009.v13.n6.a9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072457284"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2012-05", 
        "datePublishedReg": "2012-05-01", 
        "description": "We derive a general formula of an index for superconformal field theories on S1 \u00d7 S3 with insertions of BPS Wilson line or \u2019t Hooft line operator at the north pole and their anti-counterpart at the south pole of S3. One-loop and monopole bubbling effects are taken into account in the computation. As examples, we calculate the indices for theories and SU(2) theory with Nf = 4, and find good agreements between indices of line operators related by S-duality. The relation between Verlinde loop operators and the indices is explored. The holographic correspondence between the fundamental (anti- symmetric) Wilson line operator and the fundamental string (D5 brane) in AdS5 \u00d7 S5 is confirmed by the index comparison.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/jhep05(2012)007", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1052482", 
            "issn": [
              "1126-6708", 
              "1029-8479"
            ], 
            "name": "Journal of High Energy Physics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "5", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "2012"
          }
        ], 
        "name": "Line Operator Index on S1 \u00d7 S3", 
        "pagination": "7", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "dcf453c279478ebec23ac02bad4fb86a1f12f233c1f54e637f38e78fcabce3aa"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/jhep05(2012)007"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1046384564"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/jhep05(2012)007", 
          "https://app.dimensions.ai/details/publication/pub.1046384564"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-10T20:40", 
        "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_8684_00000483.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007/JHEP05(2012)007"
      }
    ]
     

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

    HOW TO GET THIS DATA PROGRAMMATICALLY:

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

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/jhep05(2012)007'

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

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/jhep05(2012)007'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/jhep05(2012)007'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/jhep05(2012)007'


     

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

    203 TRIPLES      21 PREDICATES      62 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/jhep05(2012)007 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author Neae75d5bc83a48fa8d6c5f1c60bde2ba
    4 schema:citation sg:pub.10.1007/jhep01(2010)110
    5 sg:pub.10.1007/jhep01(2010)113
    6 sg:pub.10.1007/jhep02(2010)057
    7 sg:pub.10.1007/jhep03(2010)032
    8 sg:pub.10.1007/jhep03(2010)089
    9 sg:pub.10.1007/jhep03(2011)041
    10 sg:pub.10.1007/jhep04(2011)007
    11 sg:pub.10.1007/jhep04(2012)010
    12 sg:pub.10.1007/jhep05(2011)018
    13 sg:pub.10.1007/jhep08(2011)084
    14 sg:pub.10.1007/jhep09(2011)133
    15 sg:pub.10.1007/jhep11(2011)114
    16 sg:pub.10.1007/jhep11(2011)144
    17 sg:pub.10.1007/s00220-007-0258-7
    18 sg:pub.10.1007/s00220-011-1218-9
    19 sg:pub.10.1007/s100520100799
    20 sg:pub.10.1007/s11005-010-0369-5
    21 sg:pub.10.1007/s11005-011-0537-2
    22 sg:pub.10.1088/1126-6708/2002/11/043
    23 sg:pub.10.1088/1126-6708/2005/02/010
    24 sg:pub.10.1088/1126-6708/2006/05/037
    25 sg:pub.10.1088/1126-6708/2006/10/007
    26 sg:pub.10.1088/1126-6708/2008/10/091
    27 https://doi.org/10.1016/0550-3213(84)90013-0
    28 https://doi.org/10.1016/j.nuclphysb.2006.03.037
    29 https://doi.org/10.1016/j.nuclphysb.2009.01.028
    30 https://doi.org/10.1016/j.nuclphysb.2009.06.025
    31 https://doi.org/10.1016/j.physletb.2011.09.007
    32 https://doi.org/10.1103/physrevd.54.6351
    33 https://doi.org/10.1103/physrevd.74.025005
    34 https://doi.org/10.1103/physrevd.76.105013
    35 https://doi.org/10.1103/physrevlett.106.241602
    36 https://doi.org/10.1103/physrevlett.80.4859
    37 https://doi.org/10.4310/atmp.1998.v2.n2.a1
    38 https://doi.org/10.4310/atmp.2009.v13.n6.a9
    39 schema:datePublished 2012-05
    40 schema:datePublishedReg 2012-05-01
    41 schema:description We derive a general formula of an index for superconformal field theories on S1 × S3 with insertions of BPS Wilson line or ’t Hooft line operator at the north pole and their anti-counterpart at the south pole of S3. One-loop and monopole bubbling effects are taken into account in the computation. As examples, we calculate the indices for theories and SU(2) theory with Nf = 4, and find good agreements between indices of line operators related by S-duality. The relation between Verlinde loop operators and the indices is explored. The holographic correspondence between the fundamental (anti- symmetric) Wilson line operator and the fundamental string (D5 brane) in AdS5 × S5 is confirmed by the index comparison.
    42 schema:genre research_article
    43 schema:inLanguage en
    44 schema:isAccessibleForFree true
    45 schema:isPartOf N811adcc6458f4d8495b60f787ef714ca
    46 Nbe14eb3a5d6947508beaafe94586f126
    47 sg:journal.1052482
    48 schema:name Line Operator Index on S1 × S3
    49 schema:pagination 7
    50 schema:productId N326c525a6f184fcda92236f1bad8caca
    51 Na374472fbc1846e5b60144a22001f6ec
    52 Ndaf4d8367bc443cb8f265acd85f7dff2
    53 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046384564
    54 https://doi.org/10.1007/jhep05(2012)007
    55 schema:sdDatePublished 2019-04-10T20:40
    56 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    57 schema:sdPublisher Nac3d7875e6c3412f8c6864e61d1872be
    58 schema:url http://link.springer.com/10.1007/JHEP05(2012)007
    59 sgo:license sg:explorer/license/
    60 sgo:sdDataset articles
    61 rdf:type schema:ScholarlyArticle
    62 N315cfce4042a47198b46b8f8adfac34a rdf:first sg:person.013227710045.15
    63 rdf:rest N7a61c12003d34965971356c45c251ba1
    64 N326c525a6f184fcda92236f1bad8caca schema:name dimensions_id
    65 schema:value pub.1046384564
    66 rdf:type schema:PropertyValue
    67 N7a61c12003d34965971356c45c251ba1 rdf:first sg:person.014456763201.13
    68 rdf:rest rdf:nil
    69 N811adcc6458f4d8495b60f787ef714ca schema:volumeNumber 2012
    70 rdf:type schema:PublicationVolume
    71 Na374472fbc1846e5b60144a22001f6ec schema:name readcube_id
    72 schema:value dcf453c279478ebec23ac02bad4fb86a1f12f233c1f54e637f38e78fcabce3aa
    73 rdf:type schema:PropertyValue
    74 Nac3d7875e6c3412f8c6864e61d1872be schema:name Springer Nature - SN SciGraph project
    75 rdf:type schema:Organization
    76 Nbe14eb3a5d6947508beaafe94586f126 schema:issueNumber 5
    77 rdf:type schema:PublicationIssue
    78 Ndaf4d8367bc443cb8f265acd85f7dff2 schema:name doi
    79 schema:value 10.1007/jhep05(2012)007
    80 rdf:type schema:PropertyValue
    81 Neae75d5bc83a48fa8d6c5f1c60bde2ba rdf:first sg:person.015662425413.33
    82 rdf:rest N315cfce4042a47198b46b8f8adfac34a
    83 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    84 schema:name Mathematical Sciences
    85 rdf:type schema:DefinedTerm
    86 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    87 schema:name Pure Mathematics
    88 rdf:type schema:DefinedTerm
    89 sg:journal.1052482 schema:issn 1029-8479
    90 1126-6708
    91 schema:name Journal of High Energy Physics
    92 rdf:type schema:Periodical
    93 sg:person.013227710045.15 schema:affiliation https://www.grid.ac/institutes/grid.249961.1
    94 schema:familyName Koh
    95 schema:givenName Eunkyung
    96 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013227710045.15
    97 rdf:type schema:Person
    98 sg:person.014456763201.13 schema:affiliation https://www.grid.ac/institutes/grid.249961.1
    99 schema:familyName Lee
    100 schema:givenName Kimyeong
    101 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014456763201.13
    102 rdf:type schema:Person
    103 sg:person.015662425413.33 schema:affiliation https://www.grid.ac/institutes/grid.249961.1
    104 schema:familyName Gang
    105 schema:givenName Dongmin
    106 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015662425413.33
    107 rdf:type schema:Person
    108 sg:pub.10.1007/jhep01(2010)110 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036695386
    109 https://doi.org/10.1007/jhep01(2010)110
    110 rdf:type schema:CreativeWork
    111 sg:pub.10.1007/jhep01(2010)113 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051074521
    112 https://doi.org/10.1007/jhep01(2010)113
    113 rdf:type schema:CreativeWork
    114 sg:pub.10.1007/jhep02(2010)057 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026825461
    115 https://doi.org/10.1007/jhep02(2010)057
    116 rdf:type schema:CreativeWork
    117 sg:pub.10.1007/jhep03(2010)032 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025314613
    118 https://doi.org/10.1007/jhep03(2010)032
    119 rdf:type schema:CreativeWork
    120 sg:pub.10.1007/jhep03(2010)089 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052358077
    121 https://doi.org/10.1007/jhep03(2010)089
    122 rdf:type schema:CreativeWork
    123 sg:pub.10.1007/jhep03(2011)041 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030328944
    124 https://doi.org/10.1007/jhep03(2011)041
    125 rdf:type schema:CreativeWork
    126 sg:pub.10.1007/jhep04(2011)007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027488820
    127 https://doi.org/10.1007/jhep04(2011)007
    128 rdf:type schema:CreativeWork
    129 sg:pub.10.1007/jhep04(2012)010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033447502
    130 https://doi.org/10.1007/jhep04(2012)010
    131 rdf:type schema:CreativeWork
    132 sg:pub.10.1007/jhep05(2011)018 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016322596
    133 https://doi.org/10.1007/jhep05(2011)018
    134 rdf:type schema:CreativeWork
    135 sg:pub.10.1007/jhep08(2011)084 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000472410
    136 https://doi.org/10.1007/jhep08(2011)084
    137 rdf:type schema:CreativeWork
    138 sg:pub.10.1007/jhep09(2011)133 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023481793
    139 https://doi.org/10.1007/jhep09(2011)133
    140 rdf:type schema:CreativeWork
    141 sg:pub.10.1007/jhep11(2011)114 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036903475
    142 https://doi.org/10.1007/jhep11(2011)114
    143 rdf:type schema:CreativeWork
    144 sg:pub.10.1007/jhep11(2011)144 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039673636
    145 https://doi.org/10.1007/jhep11(2011)144
    146 rdf:type schema:CreativeWork
    147 sg:pub.10.1007/s00220-007-0258-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040519445
    148 https://doi.org/10.1007/s00220-007-0258-7
    149 rdf:type schema:CreativeWork
    150 sg:pub.10.1007/s00220-011-1218-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038309539
    151 https://doi.org/10.1007/s00220-011-1218-9
    152 rdf:type schema:CreativeWork
    153 sg:pub.10.1007/s100520100799 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014500875
    154 https://doi.org/10.1007/s100520100799
    155 rdf:type schema:CreativeWork
    156 sg:pub.10.1007/s11005-010-0369-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022882223
    157 https://doi.org/10.1007/s11005-010-0369-5
    158 rdf:type schema:CreativeWork
    159 sg:pub.10.1007/s11005-011-0537-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021401420
    160 https://doi.org/10.1007/s11005-011-0537-2
    161 rdf:type schema:CreativeWork
    162 sg:pub.10.1088/1126-6708/2002/11/043 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006369764
    163 https://doi.org/10.1088/1126-6708/2002/11/043
    164 rdf:type schema:CreativeWork
    165 sg:pub.10.1088/1126-6708/2005/02/010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029593972
    166 https://doi.org/10.1088/1126-6708/2005/02/010
    167 rdf:type schema:CreativeWork
    168 sg:pub.10.1088/1126-6708/2006/05/037 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033640111
    169 https://doi.org/10.1088/1126-6708/2006/05/037
    170 rdf:type schema:CreativeWork
    171 sg:pub.10.1088/1126-6708/2006/10/007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033705351
    172 https://doi.org/10.1088/1126-6708/2006/10/007
    173 rdf:type schema:CreativeWork
    174 sg:pub.10.1088/1126-6708/2008/10/091 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010633015
    175 https://doi.org/10.1088/1126-6708/2008/10/091
    176 rdf:type schema:CreativeWork
    177 https://doi.org/10.1016/0550-3213(84)90013-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022470121
    178 rdf:type schema:CreativeWork
    179 https://doi.org/10.1016/j.nuclphysb.2006.03.037 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011263717
    180 rdf:type schema:CreativeWork
    181 https://doi.org/10.1016/j.nuclphysb.2009.01.028 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027597185
    182 rdf:type schema:CreativeWork
    183 https://doi.org/10.1016/j.nuclphysb.2009.06.025 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010038002
    184 rdf:type schema:CreativeWork
    185 https://doi.org/10.1016/j.physletb.2011.09.007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049838449
    186 rdf:type schema:CreativeWork
    187 https://doi.org/10.1103/physrevd.54.6351 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020188517
    188 rdf:type schema:CreativeWork
    189 https://doi.org/10.1103/physrevd.74.025005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045736403
    190 rdf:type schema:CreativeWork
    191 https://doi.org/10.1103/physrevd.76.105013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048779792
    192 rdf:type schema:CreativeWork
    193 https://doi.org/10.1103/physrevlett.106.241602 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037724162
    194 rdf:type schema:CreativeWork
    195 https://doi.org/10.1103/physrevlett.80.4859 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007011098
    196 rdf:type schema:CreativeWork
    197 https://doi.org/10.4310/atmp.1998.v2.n2.a1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072456893
    198 rdf:type schema:CreativeWork
    199 https://doi.org/10.4310/atmp.2009.v13.n6.a9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072457284
    200 rdf:type schema:CreativeWork
    201 https://www.grid.ac/institutes/grid.249961.1 schema:alternateName Korea Institute for Advanced Study
    202 schema:name Korea Institute for Advanced Study, 130-012, Seoul, Korea
    203 rdf:type schema:Organization
     




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


    ...