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

Autores
Giribet, G.; Nicolás, L.
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fil:Giribet, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Nicolás, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
J. Math. Phys. 2009;50(4)
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_00222488_v50_n4_p_Giribet

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spelling Comment on three-point function in AdS(3)/CFT(2)Giribet, G.Nicolás, L.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.Fil:Giribet, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.Fil:Nicolás, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2009info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_00222488_v50_n4_p_GiribetJ. Math. Phys. 2009;50(4)reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2026-10-01T10:15:16Zpaperaa:paper_00222488_v50_n4_p_GiribetInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962026-10-01 10:15:22.19Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
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, G.
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, G.
Nicolás, L.
author Giribet, G.
author_facet Giribet, G.
Nicolás, L.
author_role author
author2 Nicolás, L.
author2_role author
dc.description.none.fl_txt_mv 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.
Fil:Giribet, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Nicolás, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
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
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dc.source.none.fl_str_mv J. Math. Phys. 2009;50(4)
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