TY - JOUR
T1 - Strings on curved space-times
T2 - black holes, torsion, and duality
AU - Ginsparg, Paul
AU - Quevedo, Fernando
PY - 1992/10/26
Y1 - 1992/10/26
N2 - We present a general discussion of strings propagating on noncompact coset spaces G/H 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 H, 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 D ≤ 10. We study in detail the class of models described by the cosets SL(2, R) ⊗ SO(1, 1)D-2/SO(1, 1). For D ≥ 2 each coset represent space-time geometries: (2d black hole) ⊗ RD-2 and (3d black string) ⊗ RD-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.
AB - We present a general discussion of strings propagating on noncompact coset spaces G/H 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 H, 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 D ≤ 10. We study in detail the class of models described by the cosets SL(2, R) ⊗ SO(1, 1)D-2/SO(1, 1). For D ≥ 2 each coset represent space-time geometries: (2d black hole) ⊗ RD-2 and (3d black string) ⊗ RD-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.
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U2 - 10.1016/0550-3213(92)90057-I
DO - 10.1016/0550-3213(92)90057-I
M3 - Article
AN - SCOPUS:0000522543
SN - 0550-3213
VL - 385
SP - 527
EP - 557
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -