Stringy horizons and generalized FZZ duality in perturbation theory

We study scattering amplitudes in two-dimensional string theory on a black hole bakground. We start with a simple derivation of the Fateev-Zamolodchikov-Zamolodchikov (FZZ) duality, which associates correlation functions of the sine-Liouville integrable model on the Riemann sphere to tree-level stri...

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Autor principal: Giribet, G.
Formato: JOUR
Materias:
Black Holes in String Theory
Bosonic Strings
Conformal Field Models in String Theory
Tachyon Condensation
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n2_p_Giribet
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_11266708_v2017_n2_p_Giribet2023-10-03T16:07:33Z Stringy horizons and generalized FZZ duality in perturbation theory Giribet, G. Black Holes in String Theory Bosonic Strings Conformal Field Models in String Theory Tachyon Condensation We study scattering amplitudes in two-dimensional string theory on a black hole bakground. We start with a simple derivation of the Fateev-Zamolodchikov-Zamolodchikov (FZZ) duality, which associates correlation functions of the sine-Liouville integrable model on the Riemann sphere to tree-level string amplitudes on the Euclidean two-dimensional black hole. This derivation of FZZ duality is based on perturbation theory, and it relies on a trick originally due to Fateev, which involves duality relations between different Selberg type integrals. This enables us to rewrite the correlation functions of sine-Liouville theory in terms of a special set of correlators in the gauged Wess-Zumino-Witten (WZW) theory, and use this to perform further consistency checks of the recently conjectured Generalized FZZ (GFZZ) duality. In particular, we prove that n-point correlation functions in sine-Liouville theory involving n − 2 winding modes actually coincide with the correlation functions in the SL(2ℝ)/U(1) gauged WZW model that include n − 2 oscillator operators of the type described by Giveon, Itzhaki and Kutasov in reference [1]. This proves the GFZZ duality for the case of tree level maximally winding violating n-point amplitudes with arbitrary n. We also comment on the connection between GFZZ and other marginal deformations previously considered in the literature. © 2017, The Author(s). JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n2_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)
topic Black Holes in String Theory
Bosonic Strings
Conformal Field Models in String Theory
Tachyon Condensation
spellingShingle Black Holes in String Theory
Bosonic Strings
Conformal Field Models in String Theory
Tachyon Condensation
Giribet, G.
Stringy horizons and generalized FZZ duality in perturbation theory
topic_facet Black Holes in String Theory
Bosonic Strings
Conformal Field Models in String Theory
Tachyon Condensation
description We study scattering amplitudes in two-dimensional string theory on a black hole bakground. We start with a simple derivation of the Fateev-Zamolodchikov-Zamolodchikov (FZZ) duality, which associates correlation functions of the sine-Liouville integrable model on the Riemann sphere to tree-level string amplitudes on the Euclidean two-dimensional black hole. This derivation of FZZ duality is based on perturbation theory, and it relies on a trick originally due to Fateev, which involves duality relations between different Selberg type integrals. This enables us to rewrite the correlation functions of sine-Liouville theory in terms of a special set of correlators in the gauged Wess-Zumino-Witten (WZW) theory, and use this to perform further consistency checks of the recently conjectured Generalized FZZ (GFZZ) duality. In particular, we prove that n-point correlation functions in sine-Liouville theory involving n − 2 winding modes actually coincide with the correlation functions in the SL(2ℝ)/U(1) gauged WZW model that include n − 2 oscillator operators of the type described by Giveon, Itzhaki and Kutasov in reference [1]. This proves the GFZZ duality for the case of tree level maximally winding violating n-point amplitudes with arbitrary n. We also comment on the connection between GFZZ and other marginal deformations previously considered in the literature. © 2017, The Author(s).
format JOUR
author Giribet, G.
author_facet Giribet, G.
author_sort Giribet, G.
title Stringy horizons and generalized FZZ duality in perturbation theory
title_short Stringy horizons and generalized FZZ duality in perturbation theory
title_full Stringy horizons and generalized FZZ duality in perturbation theory
title_fullStr Stringy horizons and generalized FZZ duality in perturbation theory
title_full_unstemmed Stringy horizons and generalized FZZ duality in perturbation theory
title_sort stringy horizons and generalized fzz duality in perturbation theory
url http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n2_p_Giribet
work_keys_str_mv AT giribetg stringyhorizonsandgeneralizedfzzdualityinperturbationtheory
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