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.

arXiv comment55 pages. Lectures presented at the Winter School on the Attractor Mechanism (Frascati, March 20-24, 2006). v2: references added

References in corpus (37)

• Large N Field Theories, String Theory and Gravity
• The Black Hole in Three Dimensional Space Time
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• A Stress Tensor for Anti-de Sitter Gravity
• The Holographic Weyl anomaly
• Geometry of the 2+1 Black Hole
• AdS3 Black Holes and a Stringy Exclusion Principle
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• Black Hole Attractors and the Topological String
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Eleven Dimensional Origin of String/String Duality: A One Loop Test
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• Exact Counting of Black Hole Microstates
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• Non-Supersymmetric Attractors
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Precision Counting of Small Black Holes
• Gravity solutions for the D1-D5 system with angular momentum
• Black Holes in String Theory
• Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation
• A Black Hole Farey Tail
• How Does a Fundamental String Stretch its Horizon?
• R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
• Near Horizon Geometry of Rotating Black Holes in Five Dimensions
• Holography with Gravitational Chern-Simons Term
• 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
• Statistical Entropy of BTZ Black Hole in Higher Curvature Gravity
• Counter-term charges generate bulk symmetries
• Integral Invariants of 3-Manifolds. II
• Les Houches Lectures on Strings and Arithmetic
• From AdS3/CFT2 to Black Holes/Topological Strings
• Attractors and Black Rings
• Holographic Description of Gravitational Anomalies
• Deviations from the Area Law for Supersymmetric Black Holes

Cited by in corpus (32)

• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Chiral Gravity in Three Dimensions
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Black Holes as Effective Geometries
• Supersymmetric Index from Black Hole Entropy
• Holographic representation of bulk fields with spin in AdS/CFT
• The Kerr/CFT correspondence and its extensions: a comprehensive review
• Ads(3)/CFT(2) to Ads(2)/CFT(1)
• Charged structure constants from modularity
• Statistical Description of Rotating Kaluza-Klein Black Holes
• Observables and Microscopic Entropy of Higher Spin Black Holes
• Near-horizon analysis of D=5 BPS black holes and rings
• Black hole microstates in AdS
• Boundary Conditions and Unitarity: the Maxwell-Chern-Simons System in AdS_3/CFT_2
• Comment on "Cosmological Topological Massive Gravitons and Photons"
• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
• Large-N limits of 2d CFTs, Quivers and AdS_3 duals
• Gravity dual of 1+1 dimensional Bjorken expansion
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory
• Central Charges in 2d Reduced Cosmological Massive Gravity
• Warped AdS_3 Black Holes in Higher Derivative Gravity Theories
• Holographic Entanglement for Chern-Simons Terms
• alpha'-corrections and heterotic black holes
• 2+1 Quantum Gravity with Barbero-Immirzi like parameter on Toric Spatial Foliation
• The Spectra of Supersymmetric States in String Theory
• Remarks on BMS${}_3$ invariant field theories: correlation functions and nonunitary CFTs
• New Spacetimes for Rotating Dust in (2+1)-Dimensional General Relativity
• Holographic Phase Transitions in (2+1)-dimensional black hole spacetimes in NMG
• Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories
• 3-dimensional $\Lambda$-BMS Symmetry and its Deformations
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality