Fusion rules and four-point functions in the AdS3 Wess-Zumino-Novikov-Witten model

Autores
Baron, Walter Helmut; Nuñez, Carmen Alicia
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the operator product expansion in the AdS3 Wess-Zumino-Novikov-Witten (WZNW) model. The operator-product expansion of primary fields and their spectral flow images is computed from the analytic continuation of the expressions in the H3+ WZNW model, adding spectral flow. We argue that the symmetries of the affine algebra require a truncation which establishes the closure of the fusion rules on the Hilbert space of the theory. Although the physical mechanism determining the decoupling is not completely understood, we present several consistency checks on the results. A preliminary analysis of factorization allows to obtain some properties of four-point functions involving fields in generic sectors of the theory, to verify that they agree with the spectral flow selection rules and to show that the truncation must be realized in physical amplitudes for consistency.
Fil: Baron, Walter Helmut. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - la Plata. Instituto de Física la Plata. Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Instituto de Física la Plata; Argentina
Fil: Nuñez, Carmen Alicia. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Materia
String Theory
Ads3 Wznw Model
Fusion Rules
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/21549
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Fusion rules and four-point functions in the AdS3 Wess-Zumino-Novikov-Witten modelBaron, Walter HelmutNuñez, Carmen AliciaString TheoryAds3 Wznw ModelFusion Ruleshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the operator product expansion in the AdS3 Wess-Zumino-Novikov-Witten (WZNW) model. The operator-product expansion of primary fields and their spectral flow images is computed from the analytic continuation of the expressions in the H3+ WZNW model, adding spectral flow. We argue that the symmetries of the affine algebra require a truncation which establishes the closure of the fusion rules on the Hilbert space of the theory. Although the physical mechanism determining the decoupling is not completely understood, we present several consistency checks on the results. A preliminary analysis of factorization allows to obtain some properties of four-point functions involving fields in generic sectors of the theory, to verify that they agree with the spectral flow selection rules and to show that the truncation must be realized in physical amplitudes for consistency.Fil: Baron, Walter Helmut. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - la Plata. Instituto de Física la Plata. Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Instituto de Física la Plata; ArgentinaFil: Nuñez, Carmen Alicia. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; ArgentinaAmerican Physical Society2009-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/21549Baron, Walter Helmut; Nuñez, Carmen Alicia; Fusion rules and four-point functions in the AdS3 Wess-Zumino-Novikov-Witten model; American Physical Society; Physical Review D; 79; 12-2009; 086004,1-240556-2821CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.79.086004info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.79.086004info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:02:15Zoai:ri.conicet.gov.ar:11336/21549instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:02:15.324CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Fusion rules and four-point functions in the AdS3 Wess-Zumino-Novikov-Witten model
title Fusion rules and four-point functions in the AdS3 Wess-Zumino-Novikov-Witten model
spellingShingle Fusion rules and four-point functions in the AdS3 Wess-Zumino-Novikov-Witten model
Baron, Walter Helmut
String Theory
Ads3 Wznw Model
Fusion Rules
title_short Fusion rules and four-point functions in the AdS3 Wess-Zumino-Novikov-Witten model
title_full Fusion rules and four-point functions in the AdS3 Wess-Zumino-Novikov-Witten model
title_fullStr Fusion rules and four-point functions in the AdS3 Wess-Zumino-Novikov-Witten model
title_full_unstemmed Fusion rules and four-point functions in the AdS3 Wess-Zumino-Novikov-Witten model
title_sort Fusion rules and four-point functions in the AdS3 Wess-Zumino-Novikov-Witten model
dc.creator.none.fl_str_mv Baron, Walter Helmut
Nuñez, Carmen Alicia
author Baron, Walter Helmut
author_facet Baron, Walter Helmut
Nuñez, Carmen Alicia
author_role author
author2 Nuñez, Carmen Alicia
author2_role author
dc.subject.none.fl_str_mv String Theory
Ads3 Wznw Model
Fusion Rules
topic String Theory
Ads3 Wznw Model
Fusion Rules
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the operator product expansion in the AdS3 Wess-Zumino-Novikov-Witten (WZNW) model. The operator-product expansion of primary fields and their spectral flow images is computed from the analytic continuation of the expressions in the H3+ WZNW model, adding spectral flow. We argue that the symmetries of the affine algebra require a truncation which establishes the closure of the fusion rules on the Hilbert space of the theory. Although the physical mechanism determining the decoupling is not completely understood, we present several consistency checks on the results. A preliminary analysis of factorization allows to obtain some properties of four-point functions involving fields in generic sectors of the theory, to verify that they agree with the spectral flow selection rules and to show that the truncation must be realized in physical amplitudes for consistency.
Fil: Baron, Walter Helmut. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - la Plata. Instituto de Física la Plata. Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Instituto de Física la Plata; Argentina
Fil: Nuñez, Carmen Alicia. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
description We study the operator product expansion in the AdS3 Wess-Zumino-Novikov-Witten (WZNW) model. The operator-product expansion of primary fields and their spectral flow images is computed from the analytic continuation of the expressions in the H3+ WZNW model, adding spectral flow. We argue that the symmetries of the affine algebra require a truncation which establishes the closure of the fusion rules on the Hilbert space of the theory. Although the physical mechanism determining the decoupling is not completely understood, we present several consistency checks on the results. A preliminary analysis of factorization allows to obtain some properties of four-point functions involving fields in generic sectors of the theory, to verify that they agree with the spectral flow selection rules and to show that the truncation must be realized in physical amplitudes for consistency.
publishDate 2009
dc.date.none.fl_str_mv 2009-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/21549
Baron, Walter Helmut; Nuñez, Carmen Alicia; Fusion rules and four-point functions in the AdS3 Wess-Zumino-Novikov-Witten model; American Physical Society; Physical Review D; 79; 12-2009; 086004,1-24
0556-2821
CONICET Digital
CONICET
url http://hdl.handle.net/11336/21549
identifier_str_mv Baron, Walter Helmut; Nuñez, Carmen Alicia; Fusion rules and four-point functions in the AdS3 Wess-Zumino-Novikov-Witten model; American Physical Society; Physical Review D; 79; 12-2009; 086004,1-24
0556-2821
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.79.086004
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.79.086004
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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