Duality Invariance of Cosmological Solutions with Torsion

Details Duality Invariance of Cosmological Solutions with Torsion Duality Invariance of Cosmological Solutions with Torsion

1998-01-27

arxiv.org/abs/hep-th/9801174v2

Int.J.Mod.Phys. A14 (1999) 4953-4966

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 22 pages, references added, section IV enlarged and rewritten and two toy models described with explicit solutions. To

Scientific paper

10.1142/S0217751X99002347

We show that for a string moving in a background consisting of maximally symmetric gravity, dilaton field and second rank antisymmetric tensor field, the $O(d) \otimes O(d)$ transformation on the vacuum solutions gives inequivalent solutions that are not maximally symmetric. We then show that the usual physical meaning of maximal symmetry can be made to remain unaltered even if torsion is present and illustrate this through two toy models by determining the torsion fields, the metric and Killing vectors. Finally we show that under the $O(d) \otimes O(d)$ transformation this generalised maximal symmetry can be preserved under certain conditions. This is interesting in the context of string related cosmological backgrounds.

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