Winding strings and AdS_3 black holes

Details Winding strings and AdS_3 black holes Winding strings and AdS_3 black holes

2002-06-13

arxiv.org/abs/hep-th/0206118v2

JHEP 0209 (2002) 041

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 1 figure, v2: references added, JHEP version

Scientific paper

10.1088/1126-6708/2002/09/041

We start a systematic study of string theory in AdS_3 black hole backgrounds. Firstly, we analyse in detail the geodesic structure of the BTZ black hole, including spacelike geodesics. Secondly, we study the spectrum for massive and massless scalar fields, paying particular attention to the connection between Sl(2,R) subgroups, the theory of special functions and global properties of the BTZ black holes. We construct classical strings that wind the black holes. Finally, we apply the general formalism to the vacuum black hole background, and formulate the boundary spacetime Virasoro algebra in terms of worldsheet operators. We moreover establish the link between a proposal for a ghost free spectrum for Sl(2,R) string propagation and the massless black hole background, thereby claryfing aspects of the AdS3/CFT correspondence.

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