Massless BTZ black holes in minisuperspace

Details Massless BTZ black holes in minisuperspace Massless BTZ black holes in minisuperspace

2002-09-23

arxiv.org/abs/hep-th/0209195v2

JHEP 0211 (2002) 042

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, v2: reference added

Scientific paper

10.1088/1126-6708/2002/11/042

We study aspects of the propagation of strings on BTZ black holes. After performing a careful analysis of the global spacetime structure of generic BTZ black holes, and its relation to the geometry of the SL(2,R) group manifold, we focus on the simplest case of the massless BTZ black hole. We study the SL(2,R) Wess-Zumino-Witten model in the worldsheet minisuperspace limit, taking into account special features associated to the Lorentzian signature of spacetime. We analyse the two- and three-point functions in the pointparticle limit. To lay bare the underlying group structure of the correlation functions, we derive new results on Clebsch-Gordan coefficients for SL(2,R) in a parabolic basis. We comment on the application of our results to string theory in singular time-dependent orbifolds, and to a Lorentzian version of the AdS/CFT correspondence.

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