Surveying the three-dimensional fixed points of T duality

We explore the family of fixed points of T-duality transformations in three dimensions. For the simplest nontrivial self-duality conditions it is possible to show that, in addition to the spacelike isometry in which the T-duality transformation is performed, these backgrounds must be necessarily sta...

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Autor principal: Giribet, Gastón Enrique
Publicado: 2007
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v75_n4_p_AyonBeato
http://hdl.handle.net/20.500.12110/paper_15507998_v75_n4_p_AyonBeato
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15507998_v75_n4_p_AyonBeato
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spelling paper:paper_15507998_v75_n4_p_AyonBeato2023-06-08T16:22:01Z Surveying the three-dimensional fixed points of T duality Giribet, Gastón Enrique We explore the family of fixed points of T-duality transformations in three dimensions. For the simplest nontrivial self-duality conditions it is possible to show that, in addition to the spacelike isometry in which the T-duality transformation is performed, these backgrounds must be necessarily stationary. This allows us to prove that, for nontrivial string coupling, the low energy bosonic string backgrounds, which are additionally self-T-dual along an isometry direction generated by a constant norm Killing vector, are uniquely described by a two-parametric class, including only three nonsingular cases: the charged black string, the exact gravitational wave propagating along the extremal black string, and the flat space with a linear dilaton. Besides, for constant string coupling, the only self-T-dual lower energy string background under the same assumptions corresponds to the Coussaert-Henneaux spacetime. Thus, we identify minimum criteria that yield a classification of these quoted examples and only these. All these T-dual fixed points describe exact backgrounds of string theory. © 2007 The American Physical Society. Fil:Giribet, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v75_n4_p_AyonBeato http://hdl.handle.net/20.500.12110/paper_15507998_v75_n4_p_AyonBeato
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We explore the family of fixed points of T-duality transformations in three dimensions. For the simplest nontrivial self-duality conditions it is possible to show that, in addition to the spacelike isometry in which the T-duality transformation is performed, these backgrounds must be necessarily stationary. This allows us to prove that, for nontrivial string coupling, the low energy bosonic string backgrounds, which are additionally self-T-dual along an isometry direction generated by a constant norm Killing vector, are uniquely described by a two-parametric class, including only three nonsingular cases: the charged black string, the exact gravitational wave propagating along the extremal black string, and the flat space with a linear dilaton. Besides, for constant string coupling, the only self-T-dual lower energy string background under the same assumptions corresponds to the Coussaert-Henneaux spacetime. Thus, we identify minimum criteria that yield a classification of these quoted examples and only these. All these T-dual fixed points describe exact backgrounds of string theory. © 2007 The American Physical Society.
author Giribet, Gastón Enrique
spellingShingle Giribet, Gastón Enrique
Surveying the three-dimensional fixed points of T duality
author_facet Giribet, Gastón Enrique
author_sort Giribet, Gastón Enrique
title Surveying the three-dimensional fixed points of T duality
title_short Surveying the three-dimensional fixed points of T duality
title_full Surveying the three-dimensional fixed points of T duality
title_fullStr Surveying the three-dimensional fixed points of T duality
title_full_unstemmed Surveying the three-dimensional fixed points of T duality
title_sort surveying the three-dimensional fixed points of t duality
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v75_n4_p_AyonBeato
http://hdl.handle.net/20.500.12110/paper_15507998_v75_n4_p_AyonBeato
work_keys_str_mv AT giribetgastonenrique surveyingthethreedimensionalfixedpointsoftduality
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