Solutions of the supersymmetricU(N) σ models with the Wess-Zumino-Witten term View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1989-03

AUTHORS

B. Piette, R. A. Zait, W. J. Zakrzewski

ABSTRACT

We present finite action classical solutions of the supersymmetric (Susy)U(N) sigma models with and without the Wess-Zumino-Witten (WZW) term. We derive solutions of the model with the WZW-term from the solutions of the Lax-pair problem for the corresponding model without this term. We study some properties of these solutions such as the value of their action and show that this value is related to that of the purely bosonicU(N) σ-model. Moreover, we prove that all derived solutions are unstable. More... »

PAGES

111-118

References to SciGraph publications

  • 1984-09. Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1988-09. On stability of solutions of theU(N) chiral model in two dimensions in ZEITSCHRIFT FÜR PHYSIK C PARTICLES AND FIELDS
  • 1988-07. Solutions of theU(N)σ models with the Wess-Zumino term in ZEITSCHRIFT FÜR PHYSIK C PARTICLES AND FIELDS
  • 1984-12. Non-abelian bosonization in two dimensions in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01548589

    DOI

    http://dx.doi.org/10.1007/bf01548589

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1019010187


    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/2008/17", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Psychology and Cognitive Sciences", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/1701", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Psychology", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Institut de Physique Theorique, Universite Catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium", 
              "id": "http://www.grid.ac/institutes/grid.7942.8", 
              "name": [
                "Institut de Physique Theorique, Universite Catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Piette", 
            "givenName": "B.", 
            "id": "sg:person.014121444104.73", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014121444104.73"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Department of Mathematical Sciences, University of Durham, DHI 3LE, Durham, England", 
              "id": "http://www.grid.ac/institutes/grid.8250.f", 
              "name": [
                "Department of Mathematical Sciences, University of Durham, DHI 3LE, Durham, England"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Zait", 
            "givenName": "R. A.", 
            "id": "sg:person.011317054554.46", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011317054554.46"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Department of Mathematical Sciences, University of Durham, DHI 3LE, Durham, England", 
              "id": "http://www.grid.ac/institutes/grid.8250.f", 
              "name": [
                "Department of Mathematical Sciences, University of Durham, DHI 3LE, Durham, England"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Zakrzewski", 
            "givenName": "W. J.", 
            "id": "sg:person.014640770123.34", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014640770123.34"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf01548285", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021724156", 
              "https://doi.org/10.1007/bf01548285"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01210726", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052011970", 
              "https://doi.org/10.1007/bf01210726"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01215276", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1015705784", 
              "https://doi.org/10.1007/bf01215276"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01578140", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019890971", 
              "https://doi.org/10.1007/bf01578140"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1989-03", 
        "datePublishedReg": "1989-03-01", 
        "description": "We present finite action classical solutions of the supersymmetric (Susy)U(N) sigma models with and without the Wess-Zumino-Witten (WZW) term. We derive solutions of the model with the WZW-term from the solutions of the Lax-pair problem for the corresponding model without this term. We study some properties of these solutions such as the value of their action and show that this value is related to that of the purely bosonicU(N) \u03c3-model. Moreover, we prove that all derived solutions are unstable.", 
        "genre": "article", 
        "id": "sg:pub.10.1007/bf01548589", 
        "inLanguage": "en", 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1285003", 
            "issn": [
              "0170-9739", 
              "1431-5858"
            ], 
            "name": "Zeitschrift f\u00fcr Physik C Particles and Fields", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "44"
          }
        ], 
        "keywords": [
          "Wess-Zumino", 
          "Witten term", 
          "classical solutions", 
          "sigma model", 
          "corresponding model", 
          "solution", 
          "supersymmetric", 
          "model", 
          "terms", 
          "problem", 
          "properties", 
          "values", 
          "action", 
          "finite action classical solutions", 
          "action classical solutions", 
          "Lax-pair problem"
        ], 
        "name": "Solutions of the supersymmetricU(N) \u03c3 models with the Wess-Zumino-Witten term", 
        "pagination": "111-118", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1019010187"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf01548589"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf01548589", 
          "https://app.dimensions.ai/details/publication/pub.1019010187"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2021-12-01T19:06", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20211201/entities/gbq_results/article/article_211.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1007/bf01548589"
      }
    ]
     

    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/bf01548589'

    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/bf01548589'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01548589'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01548589'


     

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

    107 TRIPLES      22 PREDICATES      46 URIs      34 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf01548589 schema:about anzsrc-for:17
    2 anzsrc-for:1701
    3 schema:author N0a565cf22f9a4cf29f0e37b556ebbf98
    4 schema:citation sg:pub.10.1007/bf01210726
    5 sg:pub.10.1007/bf01215276
    6 sg:pub.10.1007/bf01548285
    7 sg:pub.10.1007/bf01578140
    8 schema:datePublished 1989-03
    9 schema:datePublishedReg 1989-03-01
    10 schema:description We present finite action classical solutions of the supersymmetric (Susy)U(N) sigma models with and without the Wess-Zumino-Witten (WZW) term. We derive solutions of the model with the WZW-term from the solutions of the Lax-pair problem for the corresponding model without this term. We study some properties of these solutions such as the value of their action and show that this value is related to that of the purely bosonicU(N) σ-model. Moreover, we prove that all derived solutions are unstable.
    11 schema:genre article
    12 schema:inLanguage en
    13 schema:isAccessibleForFree false
    14 schema:isPartOf N2de001779dfa42d3b694443855c498d2
    15 Ne2708f3b45814cf3ae609af745401704
    16 sg:journal.1285003
    17 schema:keywords Lax-pair problem
    18 Wess-Zumino
    19 Witten term
    20 action
    21 action classical solutions
    22 classical solutions
    23 corresponding model
    24 finite action classical solutions
    25 model
    26 problem
    27 properties
    28 sigma model
    29 solution
    30 supersymmetric
    31 terms
    32 values
    33 schema:name Solutions of the supersymmetricU(N) σ models with the Wess-Zumino-Witten term
    34 schema:pagination 111-118
    35 schema:productId N669451a11ea44102b6715f80b2db27eb
    36 Nae5523b23e514ba180cdbf3e9bfded89
    37 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019010187
    38 https://doi.org/10.1007/bf01548589
    39 schema:sdDatePublished 2021-12-01T19:06
    40 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    41 schema:sdPublisher Nc28550035dac424bb03e9cfc55769cb2
    42 schema:url https://doi.org/10.1007/bf01548589
    43 sgo:license sg:explorer/license/
    44 sgo:sdDataset articles
    45 rdf:type schema:ScholarlyArticle
    46 N0a565cf22f9a4cf29f0e37b556ebbf98 rdf:first sg:person.014121444104.73
    47 rdf:rest N1aff4e2338124b5483f10fc3a6158a92
    48 N1aff4e2338124b5483f10fc3a6158a92 rdf:first sg:person.011317054554.46
    49 rdf:rest N67ad3887c5d144aeb4b3a45c2a6409f2
    50 N2de001779dfa42d3b694443855c498d2 schema:volumeNumber 44
    51 rdf:type schema:PublicationVolume
    52 N669451a11ea44102b6715f80b2db27eb schema:name dimensions_id
    53 schema:value pub.1019010187
    54 rdf:type schema:PropertyValue
    55 N67ad3887c5d144aeb4b3a45c2a6409f2 rdf:first sg:person.014640770123.34
    56 rdf:rest rdf:nil
    57 Nae5523b23e514ba180cdbf3e9bfded89 schema:name doi
    58 schema:value 10.1007/bf01548589
    59 rdf:type schema:PropertyValue
    60 Nc28550035dac424bb03e9cfc55769cb2 schema:name Springer Nature - SN SciGraph project
    61 rdf:type schema:Organization
    62 Ne2708f3b45814cf3ae609af745401704 schema:issueNumber 1
    63 rdf:type schema:PublicationIssue
    64 anzsrc-for:17 schema:inDefinedTermSet anzsrc-for:
    65 schema:name Psychology and Cognitive Sciences
    66 rdf:type schema:DefinedTerm
    67 anzsrc-for:1701 schema:inDefinedTermSet anzsrc-for:
    68 schema:name Psychology
    69 rdf:type schema:DefinedTerm
    70 sg:journal.1285003 schema:issn 0170-9739
    71 1431-5858
    72 schema:name Zeitschrift für Physik C Particles and Fields
    73 schema:publisher Springer Nature
    74 rdf:type schema:Periodical
    75 sg:person.011317054554.46 schema:affiliation grid-institutes:grid.8250.f
    76 schema:familyName Zait
    77 schema:givenName R. A.
    78 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011317054554.46
    79 rdf:type schema:Person
    80 sg:person.014121444104.73 schema:affiliation grid-institutes:grid.7942.8
    81 schema:familyName Piette
    82 schema:givenName B.
    83 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014121444104.73
    84 rdf:type schema:Person
    85 sg:person.014640770123.34 schema:affiliation grid-institutes:grid.8250.f
    86 schema:familyName Zakrzewski
    87 schema:givenName W. J.
    88 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014640770123.34
    89 rdf:type schema:Person
    90 sg:pub.10.1007/bf01210726 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052011970
    91 https://doi.org/10.1007/bf01210726
    92 rdf:type schema:CreativeWork
    93 sg:pub.10.1007/bf01215276 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015705784
    94 https://doi.org/10.1007/bf01215276
    95 rdf:type schema:CreativeWork
    96 sg:pub.10.1007/bf01548285 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021724156
    97 https://doi.org/10.1007/bf01548285
    98 rdf:type schema:CreativeWork
    99 sg:pub.10.1007/bf01578140 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019890971
    100 https://doi.org/10.1007/bf01578140
    101 rdf:type schema:CreativeWork
    102 grid-institutes:grid.7942.8 schema:alternateName Institut de Physique Theorique, Universite Catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium
    103 schema:name Institut de Physique Theorique, Universite Catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium
    104 rdf:type schema:Organization
    105 grid-institutes:grid.8250.f schema:alternateName Department of Mathematical Sciences, University of Durham, DHI 3LE, Durham, England
    106 schema:name Department of Mathematical Sciences, University of Durham, DHI 3LE, Durham, England
    107 rdf:type schema:Organization
     




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


    ...