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

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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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Autores principales: Giribet, G., Nicolás, L.
Formato: Artículo publishedVersion
Publicado: 2009
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00222488_v50_n4_p_Giribet
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v50_n4_p_Giribet_oai
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spelling I28-R145-paper_00222488_v50_n4_p_Giribet_oai2024-08-16 Giribet, G. Nicolás, L. 2009 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. application/pdf http://hdl.handle.net/20.500.12110/paper_00222488_v50_n4_p_Giribet info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Math. Phys. 2009;50(4) Comment on three-point function in AdS(3)/CFT(2) info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v50_n4_p_Giribet_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
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
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00222488_v50_n4_p_Giribet_oai
work_keys_str_mv AT giribetg commentonthreepointfunctioninads3cft2
AT nicolasl commentonthreepointfunctioninads3cft2
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