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

Autores
Giribet, Gaston Enrique; Leoni Olivera, Matías
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Abdus Salam International Centre for Theoretical Pysics; Italia
Fil: Leoni Olivera, Matías. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Materia
2d Black Hole
Conformal Field Theory
Liouville Theory
Non-Critical Strings
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/62565

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spelling A twisted FZZ-like dual for the 2D black holeGiribet, Gaston EnriqueLeoni Olivera, Matías2d Black HoleConformal Field TheoryLiouville TheoryNon-Critical Stringshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We 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, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Abdus Salam International Centre for Theoretical Pysics; ItaliaFil: Leoni Olivera, Matías. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaPergamon-Elsevier Science Ltd2008-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/62565Giribet, Gaston Enrique; Leoni Olivera, Matías; A twisted FZZ-like dual for the 2D black hole; Pergamon-Elsevier Science Ltd; Reports On Mathematical Physics; 61; 2; 4-2008; 151-1620034-4877CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0034487708000116info:eu-repo/semantics/altIdentifier/doi/10.1016/S0034-4877(08)00011-6info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0706.0036v1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:01:09Zoai:ri.conicet.gov.ar:11336/62565instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:01:09.825CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A twisted FZZ-like dual for the 2D black hole
title A twisted FZZ-like dual for the 2D black hole
spellingShingle A twisted FZZ-like dual for the 2D black hole
Giribet, Gaston Enrique
2d Black Hole
Conformal Field Theory
Liouville Theory
Non-Critical Strings
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 A twisted FZZ-like dual for the 2D black hole
dc.creator.none.fl_str_mv Giribet, Gaston Enrique
Leoni Olivera, Matías
author Giribet, Gaston Enrique
author_facet Giribet, Gaston Enrique
Leoni Olivera, Matías
author_role author
author2 Leoni Olivera, Matías
author2_role author
dc.subject.none.fl_str_mv 2d Black Hole
Conformal Field Theory
Liouville Theory
Non-Critical Strings
topic 2d Black Hole
Conformal Field Theory
Liouville Theory
Non-Critical Strings
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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, Gaston Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Abdus Salam International Centre for Theoretical Pysics; Italia
Fil: Leoni Olivera, Matías. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
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.
publishDate 2008
dc.date.none.fl_str_mv 2008-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/62565
Giribet, Gaston Enrique; Leoni Olivera, Matías; A twisted FZZ-like dual for the 2D black hole; Pergamon-Elsevier Science Ltd; Reports On Mathematical Physics; 61; 2; 4-2008; 151-162
0034-4877
CONICET Digital
CONICET
url http://hdl.handle.net/11336/62565
identifier_str_mv Giribet, Gaston Enrique; Leoni Olivera, Matías; A twisted FZZ-like dual for the 2D black hole; Pergamon-Elsevier Science Ltd; Reports On Mathematical Physics; 61; 2; 4-2008; 151-162
0034-4877
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0034487708000116
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0034-4877(08)00011-6
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0706.0036v1
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
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repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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