Lectures on black holes and the AdS_3 / CFT_2 correspondence

Abstract

We present a detailed discussion of AdS_3 black holes and their connection to two-dimensional conformal field theories via the AdS/CFT correspondence. Our emphasis is on deriving refined versions of black hole partition functions, that include the effect of higher derivative terms in the spacetime action as well as non-perturbative effects. We include background material on gravity in AdS_3, in the context of holographic renormalization.

55 pages. Lectures presented at the Winter School on the Attractor Mechanism (Frascati, March 20-24, 2006). v2: references added

References in corpus (5)

• Gravity solutions for the D1-D5 system with angular momentum
• A Farey Tail for Attractor Black Holes
• Microstates of a Neutral Black Hole in M Theory
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• From AdS3/CFT2 to Black Holes/Topological Strings

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• Comment on "Cosmological Topological Massive Gravitons and Photons"
• Gravity dual of 1+1 dimensional Bjorken expansion
• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory
• The Spectra of Supersymmetric States in String Theory
• Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• 3-dimensional $\Lambda$-BMS Symmetry and its Deformations