Strings on Curved Spacetimes: Black Holes, Torsion, and Duality
arXiv:hep-th/9202092 · doi:10.1016/0550-3213(92)90057-I
Abstract
We present a general discussion of strings propagating on noncompact coset spaces in terms of gauged WZW models, emphasizing the role played by isometries in the existence of target space duality. Fixed points of the gauged transformations induce metric singularities and, in the case of abelian subgroups , become horizons in a dual geometry. We also give a classification of models with a single timelike coordinate together with an explicit list for dimensions . We study in detail the class of models described by the cosets $SL(2,\IR)\otimes SO(1,1)^{D-2}/SO(1,1)$. For each coset represents two different spacetime geometries: (2D black hole)$\otimes \IR^{D-2}$ and (3D black string)$\otimes \IR^{D-3}$ with nonvanishing torsion. They are shown to be dual in such a way that the singularity of the former geometry (which is not due to a fixed point) is mapped to a regular surface (i.e.\ not even a horizon) in the latter . These cosets also lead to the conformal field theory description of known and new cosmological string models.
arXiv comment30 pages
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Cited by in corpus (78)
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