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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15507998_v75_n4_p_AyonBeato |
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todo:paper_15507998_v75_n4_p_AyonBeato2023-10-03T16:24:02Z Surveying the three-dimensional fixed points of T duality Ayón-Beato, E. Giribet, G. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15507998_v75_n4_p_AyonBeato |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
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R-134 |
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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. |
| format |
JOUR |
| author |
Ayón-Beato, E. Giribet, G. |
| spellingShingle |
Ayón-Beato, E. Giribet, G. Surveying the three-dimensional fixed points of T duality |
| author_facet |
Ayón-Beato, E. Giribet, G. |
| author_sort |
Ayón-Beato, E. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_15507998_v75_n4_p_AyonBeato |
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AT ayonbeatoe surveyingthethreedimensionalfixedpointsoftduality AT giribetg surveyingthethreedimensionalfixedpointsoftduality |
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1807316733493510144 |