Comment on three-point function in AdS(3)/CFT(2)

Recently, exact agreement has been found between bulk and boundary three-point functions in Ad S3 × S3 × T4 with Neveu-Schwarz-Neveu- Schwarz (NSNS) fluxes. This represents a nontrivial check of AdS/CFT correspondence beyond the supergravity approximation as it corresponds to an exact worldsheet com...

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Detalles Bibliográficos
Autores: Giribet, Gaston Enrique, Nicolas, Lorena
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/64610
Acceso en línea:http://hdl.handle.net/11336/64610
Access Level:acceso abierto
Palabra clave:AdS/CFT
String Theory
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
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spelling Comment on three-point function in AdS(3)/CFT(2)Giribet, Gaston EnriqueNicolas, LorenaAdS/CFTString Theoryhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Recently, exact agreement has been found between bulk and boundary three-point functions in Ad S3 × S3 × T4 with Neveu-Schwarz-Neveu- Schwarz (NSNS) fluxes. This represents a nontrivial check of AdS/CFT correspondence beyond the supergravity approximation as it corresponds to an exact worldsheet computation. When taking a closer look at this computation, one notices that a crucial point for the bulk-boundary agreement to hold is an intriguing mutual cancellation between worldsheet contributions corresponding to the Ad S3 and to the S3 pieces of the geometry, that results in a simple factorized form for the final three-point function. In this note we review this cancellation and clarify some points about the analytic relation between the SU (2) and the SL (2,R) structure constants. In particular, we dicuss the connection to the Coulomb gas representation. We also make some comments on the four-point function. © 2009 American Institute of Physics.Fil: Giribet, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Nicolas, Lorena. 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 Institute of Physics2009-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/64610Giribet, Gaston Enrique; Nicolas, Lorena; Comment on three-point function in AdS(3)/CFT(2); American Institute of Physics; Journal of Mathematical Physics; 50; 4; 12-2009; 42304-423040022-2488CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1063/1.3119003info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:55:37Zoai:ri.conicet.gov.ar:11336/64610instacron: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:34982024-05-08 13:55:37.612CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Comment on three-point function in AdS(3)/CFT(2)
title Comment on three-point function in AdS(3)/CFT(2)
spellingShingle Comment on three-point function in AdS(3)/CFT(2)
Giribet, Gaston Enrique
AdS/CFT
String Theory
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
title_short Comment on three-point function in AdS(3)/CFT(2)
title_full Comment on three-point function in AdS(3)/CFT(2)
title_fullStr Comment on three-point function in AdS(3)/CFT(2)
title_full_unstemmed Comment on three-point function in AdS(3)/CFT(2)
title_sort Comment on three-point function in AdS(3)/CFT(2)
dc.creator.none.fl_str_mv Giribet, Gaston Enrique
Nicolas, Lorena
author Giribet, Gaston Enrique
author_facet Giribet, Gaston Enrique
Nicolas, Lorena
author_role author
author2 Nicolas, Lorena
author2_role author
dc.subject.none.fl_str_mv AdS/CFT
String Theory
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
topic AdS/CFT
String Theory
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
description Recently, exact agreement has been found between bulk and boundary three-point functions in Ad S3 × S3 × T4 with Neveu-Schwarz-Neveu- Schwarz (NSNS) fluxes. This represents a nontrivial check of AdS/CFT correspondence beyond the supergravity approximation as it corresponds to an exact worldsheet computation. When taking a closer look at this computation, one notices that a crucial point for the bulk-boundary agreement to hold is an intriguing mutual cancellation between worldsheet contributions corresponding to the Ad S3 and to the S3 pieces of the geometry, that results in a simple factorized form for the final three-point function. In this note we review this cancellation and clarify some points about the analytic relation between the SU (2) and the SL (2,R) structure constants. In particular, we dicuss the connection to the Coulomb gas representation. We also make some comments on the four-point function. © 2009 American Institute of Physics.
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/11336/64610
Giribet, Gaston Enrique; Nicolas, Lorena; Comment on three-point function in AdS(3)/CFT(2); American Institute of Physics; Journal of Mathematical Physics; 50; 4; 12-2009; 42304-42304
0022-2488
CONICET Digital
CONICET
url http://hdl.handle.net/11336/64610
identifier_str_mv Giribet, Gaston Enrique; Nicolas, Lorena; Comment on three-point function in AdS(3)/CFT(2); American Institute of Physics; Journal of Mathematical Physics; 50; 4; 12-2009; 42304-42304
0022-2488
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1063/1.3119003
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
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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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