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Title: Surveying the three-dimensional fixed points of T duality

Abstract

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.

Authors:
 [1];  [2];  [3]
  1. Centro de Estudios Cientificos (CECS), Casilla 1469, Valdivia (Chile)
  2. (Mexico)
  3. Departamento de Fisica, Universidad de Buenos Aires, Ciudad Universitaria, Pabellon I (1428), Buenos Aires (Argentina)
Publication Date:
OSTI Identifier:
21011123
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.75.046008; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COUPLING; DUALITY; GRAVITATIONAL WAVES; QUANTUM FIELD THEORY; SPACE-TIME; STRING MODELS; THREE-DIMENSIONAL CALCULATIONS; TRANSFORMATIONS; VECTORS

Citation Formats

Ayon-Beato, Eloy, Departamento de Fisica, CINVESTAV-IPN, Apdo. Postal 14-740, 07000, Mexico D.F., and Giribet, Gaston. Surveying the three-dimensional fixed points of T duality. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.046008.
Ayon-Beato, Eloy, Departamento de Fisica, CINVESTAV-IPN, Apdo. Postal 14-740, 07000, Mexico D.F., & Giribet, Gaston. Surveying the three-dimensional fixed points of T duality. United States. doi:10.1103/PHYSREVD.75.046008.
Ayon-Beato, Eloy, Departamento de Fisica, CINVESTAV-IPN, Apdo. Postal 14-740, 07000, Mexico D.F., and Giribet, Gaston. Thu . "Surveying the three-dimensional fixed points of T duality". United States. doi:10.1103/PHYSREVD.75.046008.
@article{osti_21011123,
title = {Surveying the three-dimensional fixed points of T duality},
author = {Ayon-Beato, Eloy and Departamento de Fisica, CINVESTAV-IPN, Apdo. Postal 14-740, 07000, Mexico D.F. and Giribet, Gaston},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.75.046008},
journal = {Physical Review. D, Particles Fields},
number = 4,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}