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.

UR - http://www.scopus.com/inward/record.url?scp=0000522543&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000522543&partnerID=8YFLogxK

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 -