The Stoyanovsky-Ribault-Teschner map and string scattering amplitudes

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Recently, Ribault and Teschner pointed out the existence of a one-to-one correspondence between N-point correlation functions for the SL(2, ℂ) k/SU(2) WZNW model on the sphere and certain set of 2N - 2-point correlation functions in Liouville field theory. This result is based on a seminal work by S...

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Autor principal: Giribet, Gastón Enrique
Publicado: 2006
Materias:
2D black hole
Conformal field theory
String theory on AdS
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v21_n19-20_p4003_Giribet
http://hdl.handle.net/20.500.12110/paper_0217751X_v21_n19-20_p4003_Giribet
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0217751X_v21_n19-20_p4003_Giribet
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spelling paper:paper_0217751X_v21_n19-20_p4003_Giribet2023-06-08T15:21:09Z The Stoyanovsky-Ribault-Teschner map and string scattering amplitudes Giribet, Gastón Enrique 2D black hole Conformal field theory String theory on AdS Recently, Ribault and Teschner pointed out the existence of a one-to-one correspondence between N-point correlation functions for the SL(2, ℂ) k/SU(2) WZNW model on the sphere and certain set of 2N - 2-point correlation functions in Liouville field theory. This result is based on a seminal work by Stoyanovsky. Here, we discuss the implications of this correspondence focusing on its application to string theory on curved backgrounds. For instance, we analyze how the divergences corresponding to worldsheet instantons in AdS3 can be understood as arising from the insertion of the dual screening operator in the Liouville theory side. We also study the pole structure of N-point functions in the 2D Euclidean black hole and its holographic meaning in terms of the Little String Theory. This enables us to interpret the correspondence between CFT's as encoding a LSZ-type reduction procedure. Furthermore, we discuss the scattering amplitudes violating the winding number conservation in those backgrounds and provide a formula connecting such amplitudes with observables in Liouville field theory. Finally, we study the WZNW correlation functions in the limit k → 0 and show that, at the point k = 0, the Stoyanovsky-Ribault-Teschner dictionary turns out to be in agreement with the FZZ conjecture at a particular point of the space of parameters where the Liouville central charge becomes cL = -2. This result makes contact with recent studies on the dynamical tachyon condensation in closed string theory. © World Scientific Publishing Company. Fil:Giribet, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v21_n19-20_p4003_Giribet http://hdl.handle.net/20.500.12110/paper_0217751X_v21_n19-20_p4003_Giribet
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 2D black hole
Conformal field theory
String theory on AdS
spellingShingle 2D black hole
Conformal field theory
String theory on AdS
Giribet, Gastón Enrique
The Stoyanovsky-Ribault-Teschner map and string scattering amplitudes
topic_facet 2D black hole
Conformal field theory
String theory on AdS
description Recently, Ribault and Teschner pointed out the existence of a one-to-one correspondence between N-point correlation functions for the SL(2, ℂ) k/SU(2) WZNW model on the sphere and certain set of 2N - 2-point correlation functions in Liouville field theory. This result is based on a seminal work by Stoyanovsky. Here, we discuss the implications of this correspondence focusing on its application to string theory on curved backgrounds. For instance, we analyze how the divergences corresponding to worldsheet instantons in AdS3 can be understood as arising from the insertion of the dual screening operator in the Liouville theory side. We also study the pole structure of N-point functions in the 2D Euclidean black hole and its holographic meaning in terms of the Little String Theory. This enables us to interpret the correspondence between CFT's as encoding a LSZ-type reduction procedure. Furthermore, we discuss the scattering amplitudes violating the winding number conservation in those backgrounds and provide a formula connecting such amplitudes with observables in Liouville field theory. Finally, we study the WZNW correlation functions in the limit k → 0 and show that, at the point k = 0, the Stoyanovsky-Ribault-Teschner dictionary turns out to be in agreement with the FZZ conjecture at a particular point of the space of parameters where the Liouville central charge becomes cL = -2. This result makes contact with recent studies on the dynamical tachyon condensation in closed string theory. © World Scientific Publishing Company.
author Giribet, Gastón Enrique
author_facet Giribet, Gastón Enrique
author_sort Giribet, Gastón Enrique
title The Stoyanovsky-Ribault-Teschner map and string scattering amplitudes
title_short The Stoyanovsky-Ribault-Teschner map and string scattering amplitudes
title_full The Stoyanovsky-Ribault-Teschner map and string scattering amplitudes
title_fullStr The Stoyanovsky-Ribault-Teschner map and string scattering amplitudes
title_full_unstemmed The Stoyanovsky-Ribault-Teschner map and string scattering amplitudes
title_sort stoyanovsky-ribault-teschner map and string scattering amplitudes
publishDate 2006
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v21_n19-20_p4003_Giribet
http://hdl.handle.net/20.500.12110/paper_0217751X_v21_n19-20_p4003_Giribet
work_keys_str_mv AT giribetgastonenrique thestoyanovskyribaultteschnermapandstringscatteringamplitudes
AT giribetgastonenrique stoyanovskyribaultteschnermapandstringscatteringamplitudes
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