Higher S-dualities and Shephard-Todd groups View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2015-09

AUTHORS

Sergio Cecotti, Michele Del Zotto

ABSTRACT

Seiberg and Witten have shown that in N=2 SQCD with Nf = 2Nc = 4 the S-duality group PSL2ℤ acts on the flavor charges, which are weights of Spin(8), by triality. There are other N=2 SCFTs in which SU(2) SYM is coupled to strongly-interacting non-Lagrangian matter: their matter charges are weights of E6, E7 and E8 instead of Spin(8). The S-duality group PSL2ℤ acts on these weights: what replaces Spin(8) triality for the E6, E7, E8root lattices? In this paper we answer the question. The action on the matter charges of (a finite central extension of) PSL2ℤ factorizes trough the action of the exceptional Shephard-Todd groups G4 and G8 which should be seen as complex analogs of the usual triality group S3≃WeylA2. Our analysis is based on the identification of S-duality for SU(2) gauge SCFTs with the group of automorphisms of the cluster category of weighted projective lines of tubular type. More... »

PAGES

35

References to SciGraph publications

  • 1984. Tame Algebras and Integral Quadratic Forms in NONE
  • 2015-02. Argyres-Douglas theories and S-duality in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-04. More on the superconformal systems of type Dp(G) in JOURNAL OF HIGH ENERGY PHYSICS
  • 1990-09. Toroidal Lie algebras and vertex representations in GEOMETRIAE DEDICATA
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep09(2015)035

    DOI

    http://dx.doi.org/10.1007/jhep09(2015)035

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1009053098


    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/2008/0202", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Atomic, Molecular, Nuclear, Particle and Plasma Physics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/02", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Physical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "International School for Advanced Studies", 
              "id": "https://www.grid.ac/institutes/grid.5970.b", 
              "name": [
                "Scuola Internazionale Superiore di Studi Avanzati, via Bonomea 265, 34100, Trieste, Italy"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Cecotti", 
            "givenName": "Sergio", 
            "id": "sg:person.07413317027.28", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07413317027.28"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Harvard University", 
              "id": "https://www.grid.ac/institutes/grid.38142.3c", 
              "name": [
                "Jefferson Physical Laboratory, Harvard University, 02138, Cambridge, MA, United States"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Del Zotto", 
            "givenName": "Michele", 
            "id": "sg:person.015737202107.23", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015737202107.23"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1017/cbo9780511735134.007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002353844"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(94)90214-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003449052"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(94)90214-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1003449052"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00147350", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004131987", 
              "https://doi.org/10.1007/bf00147350"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00147350", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004131987", 
              "https://doi.org/10.1007/bf00147350"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.aim.2005.06.003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011526474"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.aim.2005.06.003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011526474"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/47/47/474001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012510829"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep02(2015)185", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020743649", 
              "https://doi.org/10.1007/jhep02(2015)185"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/00927870008826922", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025671537"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bfb0072870", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036377907", 
              "https://doi.org/10.1007/bfb0072870"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bfb0072870", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036377907", 
              "https://doi.org/10.1007/bfb0072870"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1039164941", 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1039164941", 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/jhep04(2013)153", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041477994", 
              "https://doi.org/10.1007/jhep04(2013)153"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1112/plms/s3-7.1.414", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046727914"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1142/s0217751x13300068", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1062927064"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4007/annals.2007.166.317", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1071867042"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4153/cjm-1954-028-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072263928"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4310/atmp.2014.v18.n1.a2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1072457417"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1017/cbo9780511614309", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1098668376"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2015-09", 
        "datePublishedReg": "2015-09-01", 
        "description": "Seiberg and Witten have shown that in N=2 SQCD with Nf = 2Nc = 4 the S-duality group PSL2\u2124 acts on the flavor charges, which are weights of Spin(8), by triality. There are other N=2 SCFTs in which SU(2) SYM is coupled to strongly-interacting non-Lagrangian matter: their matter charges are weights of E6, E7 and E8 instead of Spin(8). The S-duality group PSL2\u2124 acts on these weights: what replaces Spin(8) triality for the E6, E7, E8root lattices? In this paper we answer the question. The action on the matter charges of (a finite central extension of) PSL2\u2124 factorizes trough the action of the exceptional Shephard-Todd groups G4 and G8 which should be seen as complex analogs of the usual triality group S3\u2243WeylA2. Our analysis is based on the identification of S-duality for SU(2) gauge SCFTs with the group of automorphisms of the cluster category of weighted projective lines of tubular type.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/jhep09(2015)035", 
        "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": "2015"
          }
        ], 
        "name": "Higher S-dualities and Shephard-Todd groups", 
        "pagination": "35", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "2b2184f720facfee0fb9361a1df7f6ca5b0416514c772a4309d230f5006e5197"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/jhep09(2015)035"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1009053098"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/jhep09(2015)035", 
          "https://app.dimensions.ai/details/publication/pub.1009053098"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T13:08", 
        "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/v90/0000000367_0000000367/records_88227_00000000.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1007%2FJHEP09%282015%29035"
      }
    ]
     

    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(2015)035'

    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(2015)035'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/jhep09(2015)035'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/jhep09(2015)035'


     

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

    122 TRIPLES      21 PREDICATES      43 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/jhep09(2015)035 schema:about anzsrc-for:02
    2 anzsrc-for:0202
    3 schema:author N6533c26ad302405e932e11cceb5c7633
    4 schema:citation sg:pub.10.1007/bf00147350
    5 sg:pub.10.1007/bfb0072870
    6 sg:pub.10.1007/jhep02(2015)185
    7 sg:pub.10.1007/jhep04(2013)153
    8 https://app.dimensions.ai/details/publication/pub.1039164941
    9 https://doi.org/10.1016/0550-3213(94)90214-3
    10 https://doi.org/10.1016/j.aim.2005.06.003
    11 https://doi.org/10.1017/cbo9780511614309
    12 https://doi.org/10.1017/cbo9780511735134.007
    13 https://doi.org/10.1080/00927870008826922
    14 https://doi.org/10.1088/1751-8113/47/47/474001
    15 https://doi.org/10.1112/plms/s3-7.1.414
    16 https://doi.org/10.1142/s0217751x13300068
    17 https://doi.org/10.4007/annals.2007.166.317
    18 https://doi.org/10.4153/cjm-1954-028-3
    19 https://doi.org/10.4310/atmp.2014.v18.n1.a2
    20 schema:datePublished 2015-09
    21 schema:datePublishedReg 2015-09-01
    22 schema:description Seiberg and Witten have shown that in N=2 SQCD with Nf = 2Nc = 4 the S-duality group PSL2ℤ acts on the flavor charges, which are weights of Spin(8), by triality. There are other N=2 SCFTs in which SU(2) SYM is coupled to strongly-interacting non-Lagrangian matter: their matter charges are weights of E6, E7 and E8 instead of Spin(8). The S-duality group PSL2ℤ acts on these weights: what replaces Spin(8) triality for the E6, E7, E8root lattices? In this paper we answer the question. The action on the matter charges of (a finite central extension of) PSL2ℤ factorizes trough the action of the exceptional Shephard-Todd groups G4 and G8 which should be seen as complex analogs of the usual triality group S3≃WeylA2. Our analysis is based on the identification of S-duality for SU(2) gauge SCFTs with the group of automorphisms of the cluster category of weighted projective lines of tubular type.
    23 schema:genre research_article
    24 schema:inLanguage en
    25 schema:isAccessibleForFree true
    26 schema:isPartOf N54045320ce5349cdb9191d5a1ccf6f2b
    27 N928293c083d943c094aef18384e0b22b
    28 sg:journal.1052482
    29 schema:name Higher S-dualities and Shephard-Todd groups
    30 schema:pagination 35
    31 schema:productId N25f6b75f54f648fbb0bf0950c1ed1b47
    32 N315f3576089648f0ac6f2524cc0cde1a
    33 N8fe63216be7a4267a1a956b0533cfa8f
    34 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009053098
    35 https://doi.org/10.1007/jhep09(2015)035
    36 schema:sdDatePublished 2019-04-11T13:08
    37 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    38 schema:sdPublisher N64fc40e5d6a84afc9e181518a8bc5f00
    39 schema:url https://link.springer.com/10.1007%2FJHEP09%282015%29035
    40 sgo:license sg:explorer/license/
    41 sgo:sdDataset articles
    42 rdf:type schema:ScholarlyArticle
    43 N25f6b75f54f648fbb0bf0950c1ed1b47 schema:name dimensions_id
    44 schema:value pub.1009053098
    45 rdf:type schema:PropertyValue
    46 N315f3576089648f0ac6f2524cc0cde1a schema:name doi
    47 schema:value 10.1007/jhep09(2015)035
    48 rdf:type schema:PropertyValue
    49 N387d3a331d514489b4499c72fa2c2102 rdf:first sg:person.015737202107.23
    50 rdf:rest rdf:nil
    51 N54045320ce5349cdb9191d5a1ccf6f2b schema:volumeNumber 2015
    52 rdf:type schema:PublicationVolume
    53 N64fc40e5d6a84afc9e181518a8bc5f00 schema:name Springer Nature - SN SciGraph project
    54 rdf:type schema:Organization
    55 N6533c26ad302405e932e11cceb5c7633 rdf:first sg:person.07413317027.28
    56 rdf:rest N387d3a331d514489b4499c72fa2c2102
    57 N8fe63216be7a4267a1a956b0533cfa8f schema:name readcube_id
    58 schema:value 2b2184f720facfee0fb9361a1df7f6ca5b0416514c772a4309d230f5006e5197
    59 rdf:type schema:PropertyValue
    60 N928293c083d943c094aef18384e0b22b schema:issueNumber 9
    61 rdf:type schema:PublicationIssue
    62 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
    63 schema:name Physical Sciences
    64 rdf:type schema:DefinedTerm
    65 anzsrc-for:0202 schema:inDefinedTermSet anzsrc-for:
    66 schema:name Atomic, Molecular, Nuclear, Particle and Plasma Physics
    67 rdf:type schema:DefinedTerm
    68 sg:journal.1052482 schema:issn 1029-8479
    69 1126-6708
    70 schema:name Journal of High Energy Physics
    71 rdf:type schema:Periodical
    72 sg:person.015737202107.23 schema:affiliation https://www.grid.ac/institutes/grid.38142.3c
    73 schema:familyName Del Zotto
    74 schema:givenName Michele
    75 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015737202107.23
    76 rdf:type schema:Person
    77 sg:person.07413317027.28 schema:affiliation https://www.grid.ac/institutes/grid.5970.b
    78 schema:familyName Cecotti
    79 schema:givenName Sergio
    80 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07413317027.28
    81 rdf:type schema:Person
    82 sg:pub.10.1007/bf00147350 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004131987
    83 https://doi.org/10.1007/bf00147350
    84 rdf:type schema:CreativeWork
    85 sg:pub.10.1007/bfb0072870 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036377907
    86 https://doi.org/10.1007/bfb0072870
    87 rdf:type schema:CreativeWork
    88 sg:pub.10.1007/jhep02(2015)185 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020743649
    89 https://doi.org/10.1007/jhep02(2015)185
    90 rdf:type schema:CreativeWork
    91 sg:pub.10.1007/jhep04(2013)153 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041477994
    92 https://doi.org/10.1007/jhep04(2013)153
    93 rdf:type schema:CreativeWork
    94 https://app.dimensions.ai/details/publication/pub.1039164941 schema:CreativeWork
    95 https://doi.org/10.1016/0550-3213(94)90214-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003449052
    96 rdf:type schema:CreativeWork
    97 https://doi.org/10.1016/j.aim.2005.06.003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011526474
    98 rdf:type schema:CreativeWork
    99 https://doi.org/10.1017/cbo9780511614309 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098668376
    100 rdf:type schema:CreativeWork
    101 https://doi.org/10.1017/cbo9780511735134.007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002353844
    102 rdf:type schema:CreativeWork
    103 https://doi.org/10.1080/00927870008826922 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025671537
    104 rdf:type schema:CreativeWork
    105 https://doi.org/10.1088/1751-8113/47/47/474001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012510829
    106 rdf:type schema:CreativeWork
    107 https://doi.org/10.1112/plms/s3-7.1.414 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046727914
    108 rdf:type schema:CreativeWork
    109 https://doi.org/10.1142/s0217751x13300068 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062927064
    110 rdf:type schema:CreativeWork
    111 https://doi.org/10.4007/annals.2007.166.317 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071867042
    112 rdf:type schema:CreativeWork
    113 https://doi.org/10.4153/cjm-1954-028-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072263928
    114 rdf:type schema:CreativeWork
    115 https://doi.org/10.4310/atmp.2014.v18.n1.a2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1072457417
    116 rdf:type schema:CreativeWork
    117 https://www.grid.ac/institutes/grid.38142.3c schema:alternateName Harvard University
    118 schema:name Jefferson Physical Laboratory, Harvard University, 02138, Cambridge, MA, United States
    119 rdf:type schema:Organization
    120 https://www.grid.ac/institutes/grid.5970.b schema:alternateName International School for Advanced Studies
    121 schema:name Scuola Internazionale Superiore di Studi Avanzati, via Bonomea 265, 34100, Trieste, Italy
    122 rdf:type schema:Organization
     




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


    ...