Surveying the threedimensional fixed points of T duality
Abstract
We explore the family of fixed points of Tduality transformations in three dimensions. For the simplest nontrivial selfduality conditions it is possible to show that, in addition to the spacelike isometry in which the Tduality 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 selfTdual along an isometry direction generated by a constant norm Killing vector, are uniquely described by a twoparametric 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 selfTdual lower energy string background under the same assumptions corresponds to the CoussaertHenneaux spacetime. Thus, we identify minimum criteria that yield a classification of these quoted examples and only these. All these Tdual fixed points describe exact backgrounds of string theory.
 Authors:
 Centro de Estudios Cientificos (CECS), Casilla 1469, Valdivia (Chile)
 (Mexico)
 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; SPACETIME; STRING MODELS; THREEDIMENSIONAL CALCULATIONS; TRANSFORMATIONS; VECTORS
Citation Formats
AyonBeato, Eloy, Departamento de Fisica, CINVESTAVIPN, Apdo. Postal 14740, 07000, Mexico D.F., and Giribet, Gaston. Surveying the threedimensional fixed points of T duality. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.046008.
AyonBeato, Eloy, Departamento de Fisica, CINVESTAVIPN, Apdo. Postal 14740, 07000, Mexico D.F., & Giribet, Gaston. Surveying the threedimensional fixed points of T duality. United States. doi:10.1103/PHYSREVD.75.046008.
AyonBeato, Eloy, Departamento de Fisica, CINVESTAVIPN, Apdo. Postal 14740, 07000, Mexico D.F., and Giribet, Gaston. Thu .
"Surveying the threedimensional fixed points of T duality". United States.
doi:10.1103/PHYSREVD.75.046008.
@article{osti_21011123,
title = {Surveying the threedimensional fixed points of T duality},
author = {AyonBeato, Eloy and Departamento de Fisica, CINVESTAVIPN, Apdo. Postal 14740, 07000, Mexico D.F. and Giribet, Gaston},
abstractNote = {We explore the family of fixed points of Tduality transformations in three dimensions. For the simplest nontrivial selfduality conditions it is possible to show that, in addition to the spacelike isometry in which the Tduality 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 selfTdual along an isometry direction generated by a constant norm Killing vector, are uniquely described by a twoparametric 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 selfTdual lower energy string background under the same assumptions corresponds to the CoussaertHenneaux spacetime. Thus, we identify minimum criteria that yield a classification of these quoted examples and only these. All these Tdual 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}
}

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