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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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00222488_v50_n4_p_Giribet |
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paperaa:paper_00222488_v50_n4_p_Giribet2023-06-12T16:44:36Z Comment on three-point function in AdS(3)/CFT(2) J. Math. Phys. 2009;50(4) 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. 2009 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00222488_v50_n4_p_Giribet |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
language |
Inglés |
orig_language_str_mv |
eng |
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. |
format |
Artículo Artículo publishedVersion |
author |
Giribet, G. Nicolás, L. |
spellingShingle |
Giribet, G. Nicolás, L. Comment on three-point function in AdS(3)/CFT(2) |
author_facet |
Giribet, G. Nicolás, L. |
author_sort |
Giribet, G. |
title |
Comment on three-point function in AdS(3)/CFT(2) |
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) |
publishDate |
2009 |
url |
http://hdl.handle.net/20.500.12110/paper_00222488_v50_n4_p_Giribet |
work_keys_str_mv |
AT giribetg commentonthreepointfunctioninads3cft2 AT nicolasl commentonthreepointfunctioninads3cft2 |
_version_ |
1769810323854852096 |