Winding strings and AdS_3 black holes

Abstract

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.

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

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Cited by in corpus (14)

• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Inside the Horizon with AdS/CFT
• Strings in the Extended BTZ Spacetime
• Removing Singularities
• Strings in extremal BTZ black holes
• BTZ Black Hole as Solution of 3d Higher Spin Gauge Theory
• Classical integrability in the BTZ black hole
• Geodesic Structure of Naked Singularities in AdS${}_3$ Spacetime
• Massless BTZ black holes in minisuperspace
• AdS_2 D-Branes in Lorentzian AdS_3
• Spacetime Virasoro algebra from strings on zero radius AdS_3
• The Holar Wind
• Long Strings and Quasinormal Winding Modes
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$