Ads(3)/CFT(2) to Ads(2)/CFT(1)

Abstract

It has been suggested that the quantum generalization of the Wald entropy for an extremal black hole is the logarithm of the ground state degeneracy of a dual quantum mechanics in a fixed charge sector. We test this proposal for supersymmetric extremal BTZ black holes for which there is an independent definition of the quantum entropy as the logarithm of the degeneracy of appropriate states in the dual 1+1 dimensional superconformal field theory. We find that the two proposals agree. This analysis also suggests a possible route to deriving the OSV conjecture.

LaTeX file, 14 pages; v2: references added; v3: comments and refernces added; v4: expanded discussion on the role of cut-off

References in corpus (67)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• 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
• The Holographic Weyl anomaly
• Black Hole Entropy from Near-Horizon Microstates
• N=2 Extremal Black Holes
• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• Supersymmetry and Attractors
• On Black Hole Entropy
• Black Hole Entropy in M-Theory
• Black Hole Attractors and the Topological String
• Anti-de Sitter Fragmentation
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Holomorphic Anomalies in Topological Field Theories
• Three-Dimensional Gravity Revisited
• Near-horizon symmetries of extremal black holes
• Topological Amplitudes in String Theory
• Corrections to macroscopic supersymmetric black-hole entropy
• AdS2 Quantum Gravity and String Theory
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Rotating Attractors
• Quantum Quivers and Hall/Hole Halos
• Supersymmetry of the 2+1 black holes
• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• A Black Hole Farey Tail
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• Vacuum States for AdS_2 Black Holes
• Microscopic Entropy of N=2 Extremal Black Holes
• A Farey Tail for Attractor Black Holes
• Higher Derivative Corrections to Non-supersymmetric Extremal Black Holes in N=2 Supergravity
• Black hole partition functions and duality
• Entropy Function and AdS(2)/CFT(1) Correspondence
• Statistical Entropy of BTZ Black Hole in Higher Curvature Gravity
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Entropy of 2D black holes from counting microstates
• Non-supersymmetric Meta-Stable vacua in SU(N) SQCD with adjoint matter
• Baby Universes in String Theory
• Black hole bound states in AdS_3 x S^2
• Partition functions and elliptic genera from supergravity
• Extremal vacuum black holes in higher dimensions
• Higher-Order Black-Hole Solutions in N=2 Supergravity and Calabi-Yau String Backgrounds
• Stationary BPS Solutions in N=2 Supergravity with R^2-Interactions
• AdS${}_2$/CFT${}_1$ correspondence and near-extremal black hole entropy
• Exact Black Hole Degeneracies and the Topological String
• Area law corrections from state counting and supergravity
• N=2 Electric-magnetic duality in a chiral background
• From AdS3/CFT2 to Black Holes/Topological Strings
• New Attractors, Entropy Function and Black Hole Partition Function
• N=2 symplectic reparametrizations in a chiral background
• Splitting of an Extremal Reissner-Nordström Throat via Quantum Tunneling
• AdS_2 Gravity as Conformally Invariant Mechanical System
• Lectures on black holes and the AdS_3 / CFT_2 correspondence
• Examples of stationary BPS solutions in N=2 supergravity theories with R^2-interactions
• Central Charge for 2D Gravity on AdS(2) and AdS(2)/CFT(1) Correspondence
• A D-Brane Landscape on Calabi-Yau Manifolds
• Brane intersections, anti-de Sitter spacetimes and dual superconformal theories
• Deviations from the Area Law for Supersymmetric Black Holes
• Strings in a 2-d Extremal Black Hole
• Charges from Attractors
• Euclidean analysis of the entropy functional formalism
• Action, Hamiltonian and CFT for 2D black holes
• Duality Symmetry and the Cardy Limit
• Two Dimensional Anti-de Sitter Space and Discrete Light Cone Quantization

Cited by in corpus (52)

• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• What is a chiral 2d CFT? And what does it have to do with extremal black holes?
• Near Extremal Kerr Entropy from AdS_2 Quantum Gravity
• AdS${}_2$ Holographic Dictionary
• A Farey tale for N=4 dyons
• Menagerie of AdS${}_2$ boundary conditions
• The Kerr/CFT Correspondence and String Theory
• A fixed point formula for the index of multi-centered N=2 black holes
• CFT Duals for Attractor Horizons
• Black Hole Hair Removal
• Supersymmetry, Localization and Quantum Entropy Function
• AdS${}_2$ Holography: Mind the Cap
• Asymptotic Expansion of the N=4 Dyon Degeneracy
• Quantum 't Hooft operators and S-duality in N=4 super Yang-Mills
• Carroll black holes
• A nAttractor Mechanism for nAdS(2)/nCFT(1) Holography
• S-duality, 't Hooft operators and the operator product expansion
• On the Microscopic Perspective of Black Branes Thermodynamic Geometry
• Entanglement Entropy of Extremal BTZ
• Revisiting Leading Quantum Corrections to Near Extremal Black Hole Thermodynamics
• Holographic Duals of Near-extremal Reissner-Nordstrom Black Holes
• Black Hole Spectroscopy and AdS${}_2$ Holography
• Rotating Black Holes in AdS, Extremality and Chaos
• Near-Extremal Vanishing Horizon AdS5 Black Holes and Their CFT Duals
• Extremal black holes, Holography & Coarse graining
• Hawking Radiation and Quantum Anomaly in AdS2/CFT1 Correspondence
• Three Dimensional Origin of AdS_2 Quantum Gravity
• BPS-like bound and thermodynamics of the charged BTZ black hole
• Cardy and Kerr
• State-space Manifold and Rotating Black Holes
• 2D Gravity on $Ad{S}_2$ with Chern-Simons Corrections
• New AdS${}_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics
• Non-relativistic supersymmetric Dp branes
• Non-integrability in AdS${}_3$ vacua
• Solitonic Excitations in AdS2
• $Ad{S}_2$ holography is (non-)trivial for (non-)constant dilaton
• AdS2/CFT1, Whittaker vector and Wheeler-De Witt equation
• The RN/CFT Correspondence Revisited
• Superconformal Quantum Mechanics from M2-branes
• Wilson lines for AdS_5 black strings
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Black Rings in U(1)^3 Supergravity and their dual 2d CFT
• Quantum Black Hole Entropy, Localization and the Stringy Exclusion Principle
• The N=1 Supersymmetric Landau Problem and its Supersymmetric Landau Level Projections: the N=1 Supersymmetric Moyal-Voros Superplane
• Jackiw-Teitelboim gravity and near-extremal BTZ thermodynamics
• Black Hole Partition Function using Hybrid Formalism of Superstrings
• The Holographic Entanglement Entropy of Schwarzschild Black Holes
• Deformations of large N=(4,4) 2D SCFT from 3D gauged supergravity
• Schwarzschild Black Holes and Asymptotic $Ad{S}_2$
• Notes on solution phase space and BTZ black hole
• The Cardy Formula from Goldstone Bosons
• Geometry As Seen By String Theory