Argyres-Seiberg Duality and the Higgs Branch View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2010-03

AUTHORS

Davide Gaiotto, Andrew Neitzke, Yuji Tachikawa

ABSTRACT

We demonstrate the agreement between the Higgs branches of two theories proposed by Argyres and Seiberg to be S-dual, namely the SU(3) gauge theory with six quarks, and the SU(2) gauge theory with one pair of quarks coupled to the superconformal theory with E6 flavor symmetry. In mathematical terms, we demonstrate the equivalence between a hyperkähler quotient of a linear space and another hyperkähler quotient involving the minimal nilpotent orbit of E6, modulo the identification of the twistor lines. More... »

PAGES

389-410

References to SciGraph publications

  • 2007-12-28. S-duality in N = 2 supersymmetric gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 1987-12. Hyperkähler metrics and supersymmetry in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2008-01-31. Infinite coupling duals of N = 2 gauge theories and new rank 1 superconformal field theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 1991-03. HyperKähler and quaternionic Kähler geometry in MATHEMATISCHE ANNALEN
  • 2008-01-15. A holographic computation of the central charges of d = 4, 𝒩 = 2 SCFTs in JOURNAL OF HIGH ENERGY PHYSICS
  • 1998. Instantons and Kähler geometry of nilpotent orbits in REPRESENTATION THEORIES AND ALGEBRAIC GEOMETRY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00220-009-0938-6

    DOI

    http://dx.doi.org/10.1007/s00220-009-0938-6

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1037774778


    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": "Institute for Advanced Study", 
              "id": "https://www.grid.ac/institutes/grid.78989.37", 
              "name": [
                "School of Natural Sciences, Institute for Advanced Study, 08540, Princeton, New Jersey, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Gaiotto", 
            "givenName": "Davide", 
            "id": "sg:person.010362457326.20", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010362457326.20"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Harvard University", 
              "id": "https://www.grid.ac/institutes/grid.38142.3c", 
              "name": [
                "Jefferson Physical Laboratory, Harvard University, 02138, Cambridge, MA, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Neitzke", 
            "givenName": "Andrew", 
            "id": "sg:person.013370625502.17", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013370625502.17"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Institute for Advanced Study", 
              "id": "https://www.grid.ac/institutes/grid.78989.37", 
              "name": [
                "School of Natural Sciences, Institute for Advanced Study, 08540, Princeton, New Jersey, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Tachikawa", 
            "givenName": "Yuji", 
            "id": "sg:person.010520672276.19", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010520672276.19"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/978-94-015-9131-7_3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009453321", 
              "https://doi.org/10.1007/978-94-015-9131-7_3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(96)00210-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014061405"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2008/01/037", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033149929", 
              "https://doi.org/10.1088/1126-6708/2008/01/037"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2008/01/074", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041867495", 
              "https://doi.org/10.1088/1126-6708/2008/01/074"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01446581", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046405922", 
              "https://doi.org/10.1007/bf01446581"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01446581", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046405922", 
              "https://doi.org/10.1007/bf01446581"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2007/12/088", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051078287", 
              "https://doi.org/10.1088/1126-6708/2007/12/088"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0550-3213(96)00552-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052171491"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01214418", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052766039", 
              "https://doi.org/10.1007/bf01214418"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01214418", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052766039", 
              "https://doi.org/10.1007/bf01214418"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1070/pu1982v025n04abeh004533", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058171027"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s0217751x97002620", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062931009"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.24033/asens.1302", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1084407864"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4310/jdg/1214445316", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1084459797"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2010-03", 
        "datePublishedReg": "2010-03-01", 
        "description": "We demonstrate the agreement between the Higgs branches of two theories proposed by Argyres and Seiberg to be S-dual, namely the SU(3) gauge theory with six quarks, and the SU(2) gauge theory with one pair of quarks coupled to the superconformal theory with E6 flavor symmetry. In mathematical terms, we demonstrate the equivalence between a hyperk\u00e4hler quotient of a linear space and another hyperk\u00e4hler quotient involving the minimal nilpotent orbit of E6, modulo the identification of the twistor lines.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s00220-009-0938-6", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1136216", 
            "issn": [
              "0010-3616", 
              "1432-0916"
            ], 
            "name": "Communications in Mathematical Physics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "2", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "294"
          }
        ], 
        "name": "Argyres-Seiberg Duality and the Higgs Branch", 
        "pagination": "389-410", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "b3f2a88d6c5ae228094f2e8a36614363a19f6860342d45260a9086d16fed31df"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s00220-009-0938-6"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1037774778"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s00220-009-0938-6", 
          "https://app.dimensions.ai/details/publication/pub.1037774778"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T14:32", 
        "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/v90/0000000373_0000000373/records_13102_00000001.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007%2Fs00220-009-0938-6"
      }
    ]
     

    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/s00220-009-0938-6'

    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/s00220-009-0938-6'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00220-009-0938-6'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00220-009-0938-6'


     

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

    120 TRIPLES      21 PREDICATES      39 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s00220-009-0938-6 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N42554ea7fbd841a688e2c11b50c1ebe6
    4 schema:citation sg:pub.10.1007/978-94-015-9131-7_3
    5 sg:pub.10.1007/bf01214418
    6 sg:pub.10.1007/bf01446581
    7 sg:pub.10.1088/1126-6708/2007/12/088
    8 sg:pub.10.1088/1126-6708/2008/01/037
    9 sg:pub.10.1088/1126-6708/2008/01/074
    10 https://doi.org/10.1016/0550-3213(96)00210-6
    11 https://doi.org/10.1016/s0550-3213(96)00552-4
    12 https://doi.org/10.1070/pu1982v025n04abeh004533
    13 https://doi.org/10.1142/s0217751x97002620
    14 https://doi.org/10.24033/asens.1302
    15 https://doi.org/10.4310/jdg/1214445316
    16 schema:datePublished 2010-03
    17 schema:datePublishedReg 2010-03-01
    18 schema:description We demonstrate the agreement between the Higgs branches of two theories proposed by Argyres and Seiberg to be S-dual, namely the SU(3) gauge theory with six quarks, and the SU(2) gauge theory with one pair of quarks coupled to the superconformal theory with E6 flavor symmetry. In mathematical terms, we demonstrate the equivalence between a hyperkähler quotient of a linear space and another hyperkähler quotient involving the minimal nilpotent orbit of E6, modulo the identification of the twistor lines.
    19 schema:genre research_article
    20 schema:inLanguage en
    21 schema:isAccessibleForFree true
    22 schema:isPartOf N75ae174f86aa4d8cbc6c8a99b4053fb8
    23 Na8fda39e88c24ee389ad68ff71c610dc
    24 sg:journal.1136216
    25 schema:name Argyres-Seiberg Duality and the Higgs Branch
    26 schema:pagination 389-410
    27 schema:productId N67ba530aec3845a685d8dcaebf6d108a
    28 N9313dc71a4004df093b535d99a1d2c85
    29 Ne89eed2e98a04a3db9753869caccd8ef
    30 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037774778
    31 https://doi.org/10.1007/s00220-009-0938-6
    32 schema:sdDatePublished 2019-04-11T14:32
    33 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    34 schema:sdPublisher N4668168d1ecd4aeb9dc6149f22257ccd
    35 schema:url http://link.springer.com/10.1007%2Fs00220-009-0938-6
    36 sgo:license sg:explorer/license/
    37 sgo:sdDataset articles
    38 rdf:type schema:ScholarlyArticle
    39 N42554ea7fbd841a688e2c11b50c1ebe6 rdf:first sg:person.010362457326.20
    40 rdf:rest Nff9e9c8f52b646a8b90753fdff3e4f1c
    41 N4668168d1ecd4aeb9dc6149f22257ccd schema:name Springer Nature - SN SciGraph project
    42 rdf:type schema:Organization
    43 N67ba530aec3845a685d8dcaebf6d108a schema:name readcube_id
    44 schema:value b3f2a88d6c5ae228094f2e8a36614363a19f6860342d45260a9086d16fed31df
    45 rdf:type schema:PropertyValue
    46 N75ae174f86aa4d8cbc6c8a99b4053fb8 schema:issueNumber 2
    47 rdf:type schema:PublicationIssue
    48 N9313dc71a4004df093b535d99a1d2c85 schema:name dimensions_id
    49 schema:value pub.1037774778
    50 rdf:type schema:PropertyValue
    51 Na8fda39e88c24ee389ad68ff71c610dc schema:volumeNumber 294
    52 rdf:type schema:PublicationVolume
    53 Ne89eed2e98a04a3db9753869caccd8ef schema:name doi
    54 schema:value 10.1007/s00220-009-0938-6
    55 rdf:type schema:PropertyValue
    56 Nec975616c3874c56b417f20ba545fe55 rdf:first sg:person.010520672276.19
    57 rdf:rest rdf:nil
    58 Nff9e9c8f52b646a8b90753fdff3e4f1c rdf:first sg:person.013370625502.17
    59 rdf:rest Nec975616c3874c56b417f20ba545fe55
    60 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    61 schema:name Mathematical Sciences
    62 rdf:type schema:DefinedTerm
    63 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    64 schema:name Pure Mathematics
    65 rdf:type schema:DefinedTerm
    66 sg:journal.1136216 schema:issn 0010-3616
    67 1432-0916
    68 schema:name Communications in Mathematical Physics
    69 rdf:type schema:Periodical
    70 sg:person.010362457326.20 schema:affiliation https://www.grid.ac/institutes/grid.78989.37
    71 schema:familyName Gaiotto
    72 schema:givenName Davide
    73 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010362457326.20
    74 rdf:type schema:Person
    75 sg:person.010520672276.19 schema:affiliation https://www.grid.ac/institutes/grid.78989.37
    76 schema:familyName Tachikawa
    77 schema:givenName Yuji
    78 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010520672276.19
    79 rdf:type schema:Person
    80 sg:person.013370625502.17 schema:affiliation https://www.grid.ac/institutes/grid.38142.3c
    81 schema:familyName Neitzke
    82 schema:givenName Andrew
    83 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013370625502.17
    84 rdf:type schema:Person
    85 sg:pub.10.1007/978-94-015-9131-7_3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009453321
    86 https://doi.org/10.1007/978-94-015-9131-7_3
    87 rdf:type schema:CreativeWork
    88 sg:pub.10.1007/bf01214418 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052766039
    89 https://doi.org/10.1007/bf01214418
    90 rdf:type schema:CreativeWork
    91 sg:pub.10.1007/bf01446581 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046405922
    92 https://doi.org/10.1007/bf01446581
    93 rdf:type schema:CreativeWork
    94 sg:pub.10.1088/1126-6708/2007/12/088 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051078287
    95 https://doi.org/10.1088/1126-6708/2007/12/088
    96 rdf:type schema:CreativeWork
    97 sg:pub.10.1088/1126-6708/2008/01/037 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033149929
    98 https://doi.org/10.1088/1126-6708/2008/01/037
    99 rdf:type schema:CreativeWork
    100 sg:pub.10.1088/1126-6708/2008/01/074 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041867495
    101 https://doi.org/10.1088/1126-6708/2008/01/074
    102 rdf:type schema:CreativeWork
    103 https://doi.org/10.1016/0550-3213(96)00210-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014061405
    104 rdf:type schema:CreativeWork
    105 https://doi.org/10.1016/s0550-3213(96)00552-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052171491
    106 rdf:type schema:CreativeWork
    107 https://doi.org/10.1070/pu1982v025n04abeh004533 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058171027
    108 rdf:type schema:CreativeWork
    109 https://doi.org/10.1142/s0217751x97002620 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062931009
    110 rdf:type schema:CreativeWork
    111 https://doi.org/10.24033/asens.1302 schema:sameAs https://app.dimensions.ai/details/publication/pub.1084407864
    112 rdf:type schema:CreativeWork
    113 https://doi.org/10.4310/jdg/1214445316 schema:sameAs https://app.dimensions.ai/details/publication/pub.1084459797
    114 rdf:type schema:CreativeWork
    115 https://www.grid.ac/institutes/grid.38142.3c schema:alternateName Harvard University
    116 schema:name Jefferson Physical Laboratory, Harvard University, 02138, Cambridge, MA, USA
    117 rdf:type schema:Organization
    118 https://www.grid.ac/institutes/grid.78989.37 schema:alternateName Institute for Advanced Study
    119 schema:name School of Natural Sciences, Institute for Advanced Study, 08540, Princeton, New Jersey, USA
    120 rdf:type schema:Organization
     




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


    ...