Chiral Rings and Anomalies in Supersymmetric Gauge Theory View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2002-12-24

AUTHORS

Freddy Cachazo, Michael R. Douglas, Nathan Seiberg, Edward Witten

ABSTRACT

Motivated by recent work of Dijkgraaf and Vafa, we study anomalies and the chiral ring structure in a supersymmetric U(N) gauge theory with an adjoint chiral superfield and an arbitrary superpotential. A certain generalization of the Konishi anomaly leads to an equation which is identical to the loop equation of a bosonic matrix model. This allows us to solve for the expectation values of the chiral operators as functions of a finite number of ``integration constants.'' From this, we can derive the Dijkgraaf-Vafa relation of the effective superpotential to a matrix model. Some of our results are applicable to more general theories. For example, we determine the classical relations and quantum deformations of the chiral ring of = 1 super Yang-Mills theory with SU(N) gauge group, showing, as one consequence, that all supersymmetric vacua of this theory have a nonzero chiral condensate. More... »

PAGES

071

References to SciGraph publications

  • 2002-12-20. Comments on Effective Superpotentials via Matrix Models in JOURNAL OF HIGH ENERGY PHYSICS
  • 1994-10. Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1985-11. Functional-integral approach to chiral anomalies in supersymmetric gauge theories in IL NUOVO CIMENTO A (1965-1970)
  • 1978-02. Planar diagrams in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1088/1126-6708/2002/12/071

    DOI

    http://dx.doi.org/10.1088/1126-6708/2002/12/071

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1013521517


    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, Princeton, NJ 08540, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Cachazo", 
            "givenName": "Freddy", 
            "id": "sg:person.011216641413.86", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011216641413.86"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Institut des Hautes \u00c9tudes Scientifiques", 
              "id": "https://www.grid.ac/institutes/grid.425258.c", 
              "name": [
                "Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-0849, USA", 
                "I.H.E.S., Le Bois-Marie, Bures-sur-Yvette, 91440 France"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Douglas", 
            "givenName": "Michael R.", 
            "id": "sg:person.016110265131.29", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016110265131.29"
            ], 
            "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, Princeton, NJ 08540, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Seiberg", 
            "givenName": "Nathan", 
            "id": "sg:person.013327041724.61", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013327041724.61"
            ], 
            "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, Princeton, NJ 08540, USA"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Witten", 
            "givenName": "Edward", 
            "id": "sg:person.016240210261.17", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016240210261.17"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf01614153", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001005509", 
              "https://doi.org/10.1007/bf01614153"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01614153", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1001005509", 
              "https://doi.org/10.1007/bf01614153"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.49.6857", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004874928"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.49.6857", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004874928"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(95)00281-v", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1007736812"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(95)00671-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009447958"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.61.066001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011463207"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.61.066001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011463207"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.50.1092", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012949952"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevd.50.1092", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012949952"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(95)00159-p", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1014643007"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(84)90311-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020651360"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(84)90311-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020651360"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0550-3213(02)00766-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020655083"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0550-3213(02)00766-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020655083"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0370-1573(99)00083-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022092215"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0550-3213(01)00228-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024641922"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0920-5632(95)00626-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026167775"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(95)00258-t", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027157836"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(80)90138-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027479701"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(80)90138-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027479701"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0550-3213(02)00969-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028998809"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0550-3213(02)00969-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028998809"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(94)90124-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029241838"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(94)90124-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1029241838"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(82)90828-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033680594"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(82)90828-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033680594"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1088/1126-6708/2002/12/067", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1035581806", 
              "https://doi.org/10.1088/1126-6708/2002/12/067"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(93)91541-t", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036334397"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(93)91541-t", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1036334397"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02724227", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1038330606", 
              "https://doi.org/10.1007/bf02724227"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02724227", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1038330606", 
              "https://doi.org/10.1007/bf02724227"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(94)00449-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041418073"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(94)00023-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042221080"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(83)90340-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042563803"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0550-3213(83)90340-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042563803"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(93)91063-s", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044666531"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-2693(93)91063-s", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044666531"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-1573(83)90076-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049297230"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-1573(83)90076-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049297230"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02099774", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049578045", 
              "https://doi.org/10.1007/bf02099774"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02099774", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049578045", 
              "https://doi.org/10.1007/bf02099774"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02099774", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049578045", 
              "https://doi.org/10.1007/bf02099774"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/s0550-3213(02)00764-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1051764739"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2002-12-24", 
        "datePublishedReg": "2002-12-24", 
        "description": "Motivated by recent work of Dijkgraaf and Vafa, we study anomalies and the chiral ring structure in a supersymmetric U(N) gauge theory with an adjoint chiral superfield and an arbitrary superpotential. A certain generalization of the Konishi anomaly leads to an equation which is identical to the loop equation of a bosonic matrix model. This allows us to solve for the expectation values of the chiral operators as functions of a finite number of ``integration constants.'' From this, we can derive the Dijkgraaf-Vafa relation of the effective superpotential to a matrix model. Some of our results are applicable to more general theories. For example, we determine the classical relations and quantum deformations of the chiral ring of = 1 super Yang-Mills theory with SU(N) gauge group, showing, as one consequence, that all supersymmetric vacua of this theory have a nonzero chiral condensate.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1088/1126-6708/2002/12/071", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1052482", 
            "issn": [
              "1126-6708", 
              "1029-8479"
            ], 
            "name": "Journal of High Energy Physics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "12", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "2002"
          }
        ], 
        "name": "Chiral Rings and Anomalies in Supersymmetric Gauge Theory", 
        "pagination": "071", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "4069e88d1b8b136f4961458608d12aca1b5f219ad6c63fe0185509853d45ecef"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1088/1126-6708/2002/12/071"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1013521517"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1088/1126-6708/2002/12/071", 
          "https://app.dimensions.ai/details/publication/pub.1013521517"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-10T19:32", 
        "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/v90/0000000001_0000000264/records_8681_00000251.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://iopscience.iop.org/article/10.1088/1126-6708/2002/12/071/meta"
      }
    ]
     

    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.10.1088/1126-6708/2002/12/071'

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

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1088/1126-6708/2002/12/071'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1088/1126-6708/2002/12/071'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1088/1126-6708/2002/12/071'


     

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

    171 TRIPLES      21 PREDICATES      53 URIs      18 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1088/1126-6708/2002/12/071 schema:about anzsrc-for:01
    2 anzsrc-for:0101
    3 schema:author N0bf9ac2c23924a708a866ab42a4190cb
    4 schema:citation sg:pub.10.1007/bf01614153
    5 sg:pub.10.1007/bf02099774
    6 sg:pub.10.1007/bf02724227
    7 sg:pub.10.1088/1126-6708/2002/12/067
    8 https://doi.org/10.1016/0370-1573(83)90076-5
    9 https://doi.org/10.1016/0370-2693(80)90138-0
    10 https://doi.org/10.1016/0370-2693(82)90828-0
    11 https://doi.org/10.1016/0370-2693(84)90311-3
    12 https://doi.org/10.1016/0370-2693(93)91063-s
    13 https://doi.org/10.1016/0370-2693(93)91541-t
    14 https://doi.org/10.1016/0550-3213(83)90340-1
    15 https://doi.org/10.1016/0550-3213(94)00023-8
    16 https://doi.org/10.1016/0550-3213(94)00449-8
    17 https://doi.org/10.1016/0550-3213(94)90124-4
    18 https://doi.org/10.1016/0550-3213(95)00159-p
    19 https://doi.org/10.1016/0550-3213(95)00258-t
    20 https://doi.org/10.1016/0550-3213(95)00281-v
    21 https://doi.org/10.1016/0550-3213(95)00671-0
    22 https://doi.org/10.1016/0920-5632(95)00626-5
    23 https://doi.org/10.1016/s0370-1573(99)00083-6
    24 https://doi.org/10.1016/s0550-3213(01)00228-0
    25 https://doi.org/10.1016/s0550-3213(02)00764-2
    26 https://doi.org/10.1016/s0550-3213(02)00766-6
    27 https://doi.org/10.1016/s0550-3213(02)00969-0
    28 https://doi.org/10.1103/physrevd.49.6857
    29 https://doi.org/10.1103/physrevd.50.1092
    30 https://doi.org/10.1103/physrevd.61.066001
    31 schema:datePublished 2002-12-24
    32 schema:datePublishedReg 2002-12-24
    33 schema:description Motivated by recent work of Dijkgraaf and Vafa, we study anomalies and the chiral ring structure in a supersymmetric U(N) gauge theory with an adjoint chiral superfield and an arbitrary superpotential. A certain generalization of the Konishi anomaly leads to an equation which is identical to the loop equation of a bosonic matrix model. This allows us to solve for the expectation values of the chiral operators as functions of a finite number of ``integration constants.'' From this, we can derive the Dijkgraaf-Vafa relation of the effective superpotential to a matrix model. Some of our results are applicable to more general theories. For example, we determine the classical relations and quantum deformations of the chiral ring of = 1 super Yang-Mills theory with SU(N) gauge group, showing, as one consequence, that all supersymmetric vacua of this theory have a nonzero chiral condensate.
    34 schema:genre research_article
    35 schema:inLanguage en
    36 schema:isAccessibleForFree true
    37 schema:isPartOf N600521aa01e742e1b8e4aa621df12b13
    38 Nd1cb6466b0054c339b29e1b76c4d0337
    39 sg:journal.1052482
    40 schema:name Chiral Rings and Anomalies in Supersymmetric Gauge Theory
    41 schema:pagination 071
    42 schema:productId N03e5b29cf0f34ebcad43a2f7e73bb291
    43 N61ddc3b997a748908774f61f551a867c
    44 Na5f57017efbe4ed69133d607fdb42f41
    45 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013521517
    46 https://doi.org/10.1088/1126-6708/2002/12/071
    47 schema:sdDatePublished 2019-04-10T19:32
    48 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    49 schema:sdPublisher Na898c4bdfc9d4c0d85c538d96ca56964
    50 schema:url http://iopscience.iop.org/article/10.1088/1126-6708/2002/12/071/meta
    51 sgo:license sg:explorer/license/
    52 sgo:sdDataset articles
    53 rdf:type schema:ScholarlyArticle
    54 N03e5b29cf0f34ebcad43a2f7e73bb291 schema:name dimensions_id
    55 schema:value pub.1013521517
    56 rdf:type schema:PropertyValue
    57 N08223ddea57e4c75abba8e4b1854e7a5 rdf:first sg:person.013327041724.61
    58 rdf:rest N3142cc50f9c44a808f0c52af4badf849
    59 N0bf9ac2c23924a708a866ab42a4190cb rdf:first sg:person.011216641413.86
    60 rdf:rest N9eba039d2af74984876eca168c6b1355
    61 N3142cc50f9c44a808f0c52af4badf849 rdf:first sg:person.016240210261.17
    62 rdf:rest rdf:nil
    63 N600521aa01e742e1b8e4aa621df12b13 schema:volumeNumber 2002
    64 rdf:type schema:PublicationVolume
    65 N61ddc3b997a748908774f61f551a867c schema:name doi
    66 schema:value 10.1088/1126-6708/2002/12/071
    67 rdf:type schema:PropertyValue
    68 N9eba039d2af74984876eca168c6b1355 rdf:first sg:person.016110265131.29
    69 rdf:rest N08223ddea57e4c75abba8e4b1854e7a5
    70 Na5f57017efbe4ed69133d607fdb42f41 schema:name readcube_id
    71 schema:value 4069e88d1b8b136f4961458608d12aca1b5f219ad6c63fe0185509853d45ecef
    72 rdf:type schema:PropertyValue
    73 Na898c4bdfc9d4c0d85c538d96ca56964 schema:name Springer Nature - SN SciGraph project
    74 rdf:type schema:Organization
    75 Nd1cb6466b0054c339b29e1b76c4d0337 schema:issueNumber 12
    76 rdf:type schema:PublicationIssue
    77 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    78 schema:name Mathematical Sciences
    79 rdf:type schema:DefinedTerm
    80 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
    81 schema:name Pure Mathematics
    82 rdf:type schema:DefinedTerm
    83 sg:journal.1052482 schema:issn 1029-8479
    84 1126-6708
    85 schema:name Journal of High Energy Physics
    86 rdf:type schema:Periodical
    87 sg:person.011216641413.86 schema:affiliation https://www.grid.ac/institutes/grid.78989.37
    88 schema:familyName Cachazo
    89 schema:givenName Freddy
    90 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011216641413.86
    91 rdf:type schema:Person
    92 sg:person.013327041724.61 schema:affiliation https://www.grid.ac/institutes/grid.78989.37
    93 schema:familyName Seiberg
    94 schema:givenName Nathan
    95 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013327041724.61
    96 rdf:type schema:Person
    97 sg:person.016110265131.29 schema:affiliation https://www.grid.ac/institutes/grid.425258.c
    98 schema:familyName Douglas
    99 schema:givenName Michael R.
    100 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016110265131.29
    101 rdf:type schema:Person
    102 sg:person.016240210261.17 schema:affiliation https://www.grid.ac/institutes/grid.78989.37
    103 schema:familyName Witten
    104 schema:givenName Edward
    105 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016240210261.17
    106 rdf:type schema:Person
    107 sg:pub.10.1007/bf01614153 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001005509
    108 https://doi.org/10.1007/bf01614153
    109 rdf:type schema:CreativeWork
    110 sg:pub.10.1007/bf02099774 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049578045
    111 https://doi.org/10.1007/bf02099774
    112 rdf:type schema:CreativeWork
    113 sg:pub.10.1007/bf02724227 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038330606
    114 https://doi.org/10.1007/bf02724227
    115 rdf:type schema:CreativeWork
    116 sg:pub.10.1088/1126-6708/2002/12/067 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035581806
    117 https://doi.org/10.1088/1126-6708/2002/12/067
    118 rdf:type schema:CreativeWork
    119 https://doi.org/10.1016/0370-1573(83)90076-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049297230
    120 rdf:type schema:CreativeWork
    121 https://doi.org/10.1016/0370-2693(80)90138-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027479701
    122 rdf:type schema:CreativeWork
    123 https://doi.org/10.1016/0370-2693(82)90828-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033680594
    124 rdf:type schema:CreativeWork
    125 https://doi.org/10.1016/0370-2693(84)90311-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020651360
    126 rdf:type schema:CreativeWork
    127 https://doi.org/10.1016/0370-2693(93)91063-s schema:sameAs https://app.dimensions.ai/details/publication/pub.1044666531
    128 rdf:type schema:CreativeWork
    129 https://doi.org/10.1016/0370-2693(93)91541-t schema:sameAs https://app.dimensions.ai/details/publication/pub.1036334397
    130 rdf:type schema:CreativeWork
    131 https://doi.org/10.1016/0550-3213(83)90340-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042563803
    132 rdf:type schema:CreativeWork
    133 https://doi.org/10.1016/0550-3213(94)00023-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042221080
    134 rdf:type schema:CreativeWork
    135 https://doi.org/10.1016/0550-3213(94)00449-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041418073
    136 rdf:type schema:CreativeWork
    137 https://doi.org/10.1016/0550-3213(94)90124-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029241838
    138 rdf:type schema:CreativeWork
    139 https://doi.org/10.1016/0550-3213(95)00159-p schema:sameAs https://app.dimensions.ai/details/publication/pub.1014643007
    140 rdf:type schema:CreativeWork
    141 https://doi.org/10.1016/0550-3213(95)00258-t schema:sameAs https://app.dimensions.ai/details/publication/pub.1027157836
    142 rdf:type schema:CreativeWork
    143 https://doi.org/10.1016/0550-3213(95)00281-v schema:sameAs https://app.dimensions.ai/details/publication/pub.1007736812
    144 rdf:type schema:CreativeWork
    145 https://doi.org/10.1016/0550-3213(95)00671-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009447958
    146 rdf:type schema:CreativeWork
    147 https://doi.org/10.1016/0920-5632(95)00626-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026167775
    148 rdf:type schema:CreativeWork
    149 https://doi.org/10.1016/s0370-1573(99)00083-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022092215
    150 rdf:type schema:CreativeWork
    151 https://doi.org/10.1016/s0550-3213(01)00228-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024641922
    152 rdf:type schema:CreativeWork
    153 https://doi.org/10.1016/s0550-3213(02)00764-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051764739
    154 rdf:type schema:CreativeWork
    155 https://doi.org/10.1016/s0550-3213(02)00766-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020655083
    156 rdf:type schema:CreativeWork
    157 https://doi.org/10.1016/s0550-3213(02)00969-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028998809
    158 rdf:type schema:CreativeWork
    159 https://doi.org/10.1103/physrevd.49.6857 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004874928
    160 rdf:type schema:CreativeWork
    161 https://doi.org/10.1103/physrevd.50.1092 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012949952
    162 rdf:type schema:CreativeWork
    163 https://doi.org/10.1103/physrevd.61.066001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011463207
    164 rdf:type schema:CreativeWork
    165 https://www.grid.ac/institutes/grid.425258.c schema:alternateName Institut des Hautes Études Scientifiques
    166 schema:name Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-0849, USA
    167 I.H.E.S., Le Bois-Marie, Bures-sur-Yvette, 91440 France
    168 rdf:type schema:Organization
    169 https://www.grid.ac/institutes/grid.78989.37 schema:alternateName Institute for Advanced Study
    170 schema:name School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA
    171 rdf:type schema:Organization
     




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


    ...