Massless BTZ black holes in minisuperspace

Abstract

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.

28 pages, v2: reference added

References in corpus (4)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Strings in Time-Dependent Orbifolds
• Exciting AdS Orbifolds
• Strings in the Extended BTZ Spacetime

Cited by in corpus (7)

• Time-dependent Orbifolds and String Cosmology
• Comments on Cosmological Singularities in String Theory
• Global Fluctuation Spectra in Big Crunch/Big Bang String Vacua
• On the Classical Stability of Orientifold Cosmologies
• Classical integrability in the BTZ black hole
• String Theory on Lorentzian AdS_3 in Minisuperspace
• Deformations of anti-de Sitter black holes