A twisted FZZ-like dual for the 2D black hole

We study the duality between string theory formulated on a curved exact background (the two-dimensional black hole) and string theory in flat space with a tachyon-like potential. We generalize previous results on this subject by discussing a twisted version of the Fateev-Zamolodchikov-Zamolodchikov...

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Detalles Bibliográficos
Autor principal: Giribet, Gastón Enrique
Publicado: 2008
Materias:
2D black hole
conformal field theory
Liouville theory
non-critical strings
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00344877_v61_n2_p151_Giribet
http://hdl.handle.net/20.500.12110/paper_00344877_v61_n2_p151_Giribet
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00344877_v61_n2_p151_Giribet
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spelling paper:paper_00344877_v61_n2_p151_Giribet2023-06-08T15:00:40Z A twisted FZZ-like dual for the 2D black hole Giribet, Gastón Enrique 2D black hole conformal field theory Liouville theory non-critical strings We study the duality between string theory formulated on a curved exact background (the two-dimensional black hole) and string theory in flat space with a tachyon-like potential. We generalize previous results on this subject by discussing a twisted version of the Fateev-Zamolodchikov-Zamolodchikov conjecture (FZZ). This duality is shown to hold at the level of N-point correlation functions on the sphere topology, and connects tree-level string amplitudes in the Euclidean version of the 2D black hole to correlation functions in a nonlinear sigma-model in flat space but in presence of a tachyon wall potential and a linear dilaton. The dual CFT we propose here corresponds to the perturbed 2D quantum gravity coupled to c < 1 matter, where the operator that describes the tachyon-like potential can be seen as an n = 2 momentum mode perturbation, while the usual sine-Liouville potential involved in the FZZ duality would correspond to the vortex sector n = 1. We give a precise prescription for computing correlation functions in the twisted model. © 2008 Polish Scientific Publishers PWN, Warszawa. Fil:Giribet, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00344877_v61_n2_p151_Giribet http://hdl.handle.net/20.500.12110/paper_00344877_v61_n2_p151_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
Liouville theory
non-critical strings
spellingShingle 2D black hole
conformal field theory
Liouville theory
non-critical strings
Giribet, Gastón Enrique
A twisted FZZ-like dual for the 2D black hole
topic_facet 2D black hole
conformal field theory
Liouville theory
non-critical strings
description We study the duality between string theory formulated on a curved exact background (the two-dimensional black hole) and string theory in flat space with a tachyon-like potential. We generalize previous results on this subject by discussing a twisted version of the Fateev-Zamolodchikov-Zamolodchikov conjecture (FZZ). This duality is shown to hold at the level of N-point correlation functions on the sphere topology, and connects tree-level string amplitudes in the Euclidean version of the 2D black hole to correlation functions in a nonlinear sigma-model in flat space but in presence of a tachyon wall potential and a linear dilaton. The dual CFT we propose here corresponds to the perturbed 2D quantum gravity coupled to c < 1 matter, where the operator that describes the tachyon-like potential can be seen as an n = 2 momentum mode perturbation, while the usual sine-Liouville potential involved in the FZZ duality would correspond to the vortex sector n = 1. We give a precise prescription for computing correlation functions in the twisted model. © 2008 Polish Scientific Publishers PWN, Warszawa.
author Giribet, Gastón Enrique
author_facet Giribet, Gastón Enrique
author_sort Giribet, Gastón Enrique
title A twisted FZZ-like dual for the 2D black hole
title_short A twisted FZZ-like dual for the 2D black hole
title_full A twisted FZZ-like dual for the 2D black hole
title_fullStr A twisted FZZ-like dual for the 2D black hole
title_full_unstemmed A twisted FZZ-like dual for the 2D black hole
title_sort twisted fzz-like dual for the 2d black hole
publishDate 2008
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00344877_v61_n2_p151_Giribet
http://hdl.handle.net/20.500.12110/paper_00344877_v61_n2_p151_Giribet
work_keys_str_mv AT giribetgastonenrique atwistedfzzlikedualforthe2dblackhole
AT giribetgastonenrique twistedfzzlikedualforthe2dblackhole
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