AdS_3 Gravity and Conformal Field Theories

Abstract

We present a detailed analysis of $Ad{S}_3$ gravity, the BTZ black hole and the associated conformal field theories (CFTs). In particular we focus on the non-extreme six-dimensional string solution with background metric $Ad{S}_3\times S^3$ near the horizon. In addition we introduce momentum modes along the string, corresponding to a BTZ black hole, and a Taub-NUT soliton in the transverse Euclidean space. We show that the $Ad{S}_3$ space-time of this configuration has the spatial geometry of an annulus with a Liouville model at the outer boundary and a two-dimensional black hole at the inner boundary. These CFTs provide the dynamical degrees of freedom of the three-dimensional effective model and, together with the CFT corresponding to $S^3$, provide a statistical interpretation of the corresponding Bekenstein-Hawking entropy. We test the proposed exact black hole entropy, which should hold to all orders in ${\alpha }^{\prime }$, by an independent field theoretical analysis including higher-order curvature corrections. We find consistent results that yield a renormalization of the classical parameters, only. In addition we find a logarithmic subleading black hole entropy coming from gravitational fivebrane instantons in a special limit in moduli space.

33 pages, latex, no figures, minor changes, references added

References in corpus (21)

• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Black Hole Entropy from Near-Horizon Microstates
• Type IIB superstring action in AdS_5 x S^5 background
• AdS3 Black Holes and a Stringy Exclusion Principle
• 4d Conformal Field Theories and Strings on Orbifolds
• Black Hole Entropy in M-Theory
• Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
• On Conformal Theories in Four Dimensions
• Aspects of Large N Gauge Theory Dynamics as Seen by String Theory
• Non-perturbative Effects in AdS5 * S5 String Theory and d=4 SUSY Yang-Mills
• Near Horizon Geometry of Rotating Black Holes in Five Dimensions
• M 5-brane and superconformal (0,2) tensor multiplet in 6 dimensions
• Spectrum of D=6, N=4b Supergravity on AdS_3 x S^3
• Boundary dynamics and the statistical mechanics of the 2+1 dimensional black hole
• Anti-de Sitter space and black holes
• Vacua of M-theory and string theory
• Quantization of AdS_3 Black Holes in External Fields
• Entropy and Conformal Field Theories of AdS_3 Models
• Path Integral Formulation of the Conformal Wess-Zumino-Witten to Liouville Reduction
• Topological Ward Identity and Anti-de Sitter Space/CFT Correspondence

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• Remarks on 2+1 Self-dual Chern-Simons Gravity
• CFT description of three-dimensional Hawking-Page transition
• AdS gravity and field theories at fixpoints
• Euclidean Freedman-Schwarz model
• Asymptotic Symmetry and the General Black Hole Solution in Ads_3 Gravity
• On the classical connection between the WZWN model and topological gauge theories with boundaries