Kerr-AdS/CFT Correspondence in Diverse Dimensions

Abstract

It was proposed recently that the near-horizon states of an extremal four-dimensional Kerr black hole could be identified with a certain chiral conformal field theory whose Virasoro algebra arises as an asymptotic symmetry algebra of the near-horizon Kerr geometry. Supportive evidence for the proposed duality came from the equality of the microscopic entropy of the CFT, calculated by means of the Cardy formula, and the Bekenstein-Hawking entropy of the extremal Kerr black hole. In this paper we examine the proposed Kerr/CFT correspondence in a broader context. In particular, we show that the microscopic entropy and the Bekenstein-Hawking entropy agree also for the extremal Kerr-AdS metric in four dimensions, and also for the extremal Kerr-AdS metrics in dimensions 5, 6 and 7. General formulae for all higher dimensions are also presented.

Latex, 19 pages, typos corrected and references added

References in corpus (20)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• The Kerr/CFT Correspondence
• An Index for 4 dimensional Super Conformal Theories
• Rotation and the AdS/CFT correspondence
• Covariant theory of asymptotic symmetries, conservation laws and central charges
• The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
• The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
• The General Kerr-de Sitter Metrics in All Dimensions
• Black Hole Entropy from Conformal Field Theory in Any Dimension
• General Non-Extremal Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
• Near-horizon symmetries of extremal black holes
• Rotating Black Holes in Higher Dimensions with a Cosmological Constant
• Supersymmetric AdS5 black holes
• Conformal description of horizon's states
• General Kerr-NUT-AdS Metrics in All Dimensions
• The Hamiltonian Dynamics of Bounded Spacetime and Black Hole Entropy: The Canonical Method
• Extremal vacuum black holes in higher dimensions
• Near-Horizon Conformal Symmetry and Black Hole Entropy in Any Dimension
• The CFT-interpolating Black Hole in Three Dimensions

Cited by in corpus (161)

• Hidden Conformal Symmetry of the Kerr Black Hole
• CFT Duals for Extreme Black Holes
• Classification of near-horizon geometries of extremal black holes
• Black Hole Superradiance From Kerr/CFT
• Extremal Black Hole/CFT Correspondence in (Gauged) Supergravities
• What is a chiral 2d CFT? And what does it have to do with extremal black holes?
• Kerr-CFT and gravitational perturbations
• Cargese Lectures on the Kerr/CFT Correspondence
• Extremal limits and black hole entropy
• Holographic Derivation of Kerr-Newman Scattering Amplitudes for General Charge and Spin
• Central Charges in Extreme Black Hole/CFT Correspondence
• Another Realization of Kerr/CFT Correspondence
• Holographic Duals of Kaluza-Klein Black Holes
• Kerr/CFT, dipole theories and nonrelativistic CFTs
• The Kerr/CFT Correspondence and String Theory
• Extremal Static AdS Black Hole/CFT Correspondence in Gauged Supergravities
• The Kerr/CFT correspondence and its extensions: a comprehensive review
• Kerr/CFT Correspondence in the Low Energy Limit of Heterotic String Theory
• A Comment on Kerr-CFT and Wald Entropy
• Extremal Kerr black hole/CFT correspondence in the five dimensional Gödel universe
• Kerr-Newman-NUT-Kiselev black holes in Rastall theory of gravity and Kerr/CFT Correspondence
• CFT Duals for Attractor Horizons
• Perturbations of near-horizon geometries and instabilities of Myers-Perry black holes
• Real-time correlators in Kerr/CFT correspondence
• The RN/CFT Correspondence
• Hidden Conformal Symmetry of the Kerr-Newman Black Hole
• Twofold Hidden Conformal Symmetries of the Kerr-Newman Black Hole
• Black Hole Monodromy and Conformal Field Theory
• Kerr-Bolt Spacetimes and Kerr/CFT Correspondence
• Hidden Conformal Symmetries of Five-Dimensional Black Holes
• Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes
• Holography at an Extremal De Sitter Horizon
• Entropy of Kaluza-Klein Black Hole from Kerr/CFT Correspondence
• Emerging AdS from Extremally Rotating NS5-branes
• On Holographic description of the Kerr-Newman-AdS-dS black holes
• Microscopic Realization of the Kerr/CFT Correspondence
• Holographic Duals of Black Holes in Five-dimensional Minimal Supergravity
• Extremal Isolated Horizon/CFT Correspondence
• On Holographic Dual of the Dyonic Reissner-Nordström Black Hole
• Hidden conformal symmetry of rotating charged black holes
• Effective Conformal Descriptions of Black Hole Entropy
• Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons
• Holographic RG flow dual to attractor flow in extremal black holes
• Yet Another Realization of Kerr/CFT Correspondence
• Hidden Conformal Symmetry of the Reissner-Nordstrøm Black Holes
• Isometry-preserving boundary conditions in the Kerr/CFT correspondence
• All Vacuum Near-Horizon Geometries in $D$-dimensions with $(D-3)$ Commuting Rotational Symmetries
• Real-time Correlators and Hidden Conformal Symmetry in Kerr/CFT Correspondence
• EVH Black Holes, AdS3 Throats and EVH/CFT Proposal
• Scalar Love numbers and Love symmetries of 5-dimensional Myers-Perry black holes
• Note on Thermodynamics Method of Black Hole/CFT Correspondence
• Love Numbers for Rotating Black Holes in Higher Dimensions
• Kerr/CFT Correspondence on Kerr-Newman-NUT-Quintessence Black Hole
• Wiggling Throat of Extremal Black Holes
• Hidden Conformal Symmetry of Kerr-Bolt Spacetimes
• Kerr-AdS and its Near-horizon Geometry: Perturbations and the Kerr/CFT Correspondence
• Novel CFT Duals for Extreme Black Holes
• Holographic Q-picture of Kerr-Newman-AdS-dS Black Hole
• Conformal Symmetry for Rotating D-branes
• Extremal Three-point Correlators in Kerr/CFT
• Hidden conformal symmetry of extreme and non-extreme Einstein-Maxwell-Dilaton-Axion black holes
• Holographic description of Kerr-Bolt-AdS-dS Spacetimes
• The Entropy for General Extremal Black Holes
• Quantum Kerr-de Sitter black holes in three dimensions
• Holographic Dual of Linear Dilaton Black Hole in Einstein-Maxwell-Dilaton-Axion Gravity
• Hidden Conformal Symmetry of Rotating Black Hole with four Charges
• Gravitational Cardy Limit and AdS Black Hole Entropy
• Holographic Duals of Near-extremal Reissner-Nordstrom Black Holes
• Holographic Descriptions of Black Rings
• Zeta(n) via hyperbolic functions
• Notes on the Hidden Conformal Symmetry in the Near Horizon Geometry of the Kerr Black Hole
• Black Hole Vacua and Rotation
• CFT duals on extremal rotating NUT black hole
• New Near Horizon Limit in Kerr/CFT
• Rotating Black Holes in AdS, Extremality and Chaos
• Complexity growth of rotating black holes with a probe string
• Electromagnetic Duality in Dyonic RN/CFT Correspondence
• Un-twisting the NHEK with spectral flows
• Correlation Functions and Hidden Conformal Symmetry of Kerr Black Holes
• RN/CFT Correspondence From Thermodynamics
• Entropy and Temperature From Black-Hole/Near-Horizon-CFT Duality
• Instabilities of extremal rotating black holes in higher dimensions
• Near horizon black holes in diverse dimensions and integrable models
• Central Charges in 2d Reduced Cosmological Massive Gravity
• Deformed conformal symmetry of Kerr-Newman-NUT-AdS black holes
• Logarithmic Corrections to the Entropy of Rotating Black Holes and Black Strings in AdS${}_5$
• A Near Horizon CFT Dual for Kerr-Newman-$AdS$
• Ultra-Spinning Gauged Supergravity Black Holes and their Kerr/CFT Correspondence
• Deformed Hidden Conformal Symmetry for Rotating Black Holes
• General Hidden Conformal Symmetry of 4D Kerr-Newman and 5D Kerr Black Holes
• Kerr-CFT From Black-Hole Thermodynamics
• Conserved charges, surface degrees of freedom, and black hole entropy
• All 4-dimensional static, spherically symmetric, 2-charge abelian Kaluza-Klein black holes and their CFT duals
• Holographic descriptions of (near-)extremal black holes in five dimensional minimal supergravity
• CFT Duals on Rotating Charged Black Holes Surrounded by Quintessence
• Holographic Dual of the Reissner-Nordström Black Hole
• Rotating black holes and exotic compact objects in the Kerr/CFT correspondence within Rastall gravity
• Central Charges for AdS Black Holes
• EVH Black Hole Solutions With Higher Derivative Corrections
• Dual 2d CFT Identification of Extremal Black Rings from Holes
• Black holes and thermodynamics - The first half century
• Dual CFT on Dyonic Kerr-Sen black hole and its gauged and ultraspinning counterparts
• Emergent AdS_3 in the Zero Entropy Extremal Black Holes
• On Non-Chiral Extension of Kerr/CFT
• On EVH black hole solution in Heterotic string theory
• Hidden conformal symmetry for dyonic Kerr-Sen black hole and its gauged family
• The RN/CFT Correspondence Revisited
• CFT dual of charged AdS black hole in the large dimension limit
• Toward an Effective CFT${}_2$ from $\mathcal{N}=4$ Super Yang-Mills and Aspects of Hawking Radiation
• Quantum Field Theory, Black Holes and Holography
• Fast Scrambling of Mutual Information in Kerr-AdS${}_4$
• On the near horizon rotating black hole geometries with NUT charges
• Separable wave equations for gravitoelectromagnetic perturbations of rotating charged black strings
• Universal Entropy and Hawking Radiation of Near-Extremal AdS${}_4$ Black Holes
• Holographic description of three dimensional Godel black hole
• NUT-like and near-horizon limits of Kerr-NUT-(A)dS spacetimes
• Love symmetry in higher-dimensional rotating black hole spacetimes
• Extended Symmetries at Black Hole Horizons in Generic Dimensions
• Near-Extremal Black Hole Thermodynamics from AdS2/CFT1 Correspondence in The Low Energy Limit of 4D Heterotic String Theory
• Degenerate Rotating Black Holes, Chiral CFTs and Fermi Surfaces I - Analytic Results for Quasinormal Modes
• More on Five Dimensional EVH Black Rings
• Classification of the FRW universe with a cosmological constant and a perfect fluid of the equation of state $p=w\rho$
• Higher Dimensional Charged AdS Black Holes at Ultra-spinning Limit and Their 2d CFT Duals
• The Kerr-Newman/CFTs Correspondence
• Kerr-AdS Black Holes and Force-Free Magnetospheres
• AdS${}_3$ to dS${}_3$ transition in the near horizon of asymptotically de Sitter solutions
• Attraction, with Boundaries
• CFT Duals of Black Rings With Higher Derivative Terms
• A New Paradigm for Topological or Rotational Non-Abelian Gauge Fields from Einstein-Skyrme Holography
• Subttractors
• Interacting Three Fluid System and Thermodynamics of the Universe Bounded by the Event Horizon
• Hidden Conformal Symmetries from Killing Towers with an Application to Large-D/CFT
• Reducibility of Killing tensors in d>4 NHEK geometry
• Vector Fields in Kerr/CFT Correspondence
• More on the Entropy Product and Dual CFTs
• R**2 correction to BMPV black hole entropy from Kerr/CFT correspondence
• Kerr/CFT correspondence in a 4D extremal rotating regular black hole with a non-linear magnetic monopole
• Central charges from Thermodynamics method in 3D gravity
• A Kaluza-Klein Subttractor
• A Note on Kerr/CFT and Wald Entropy Discrepancy in High Derivative Gravities
• JT gravity and near-extremal thermodynamics for Kerr black holes in $Ad{S}_{4,5}$ for rotating perturbations
• Thermodynamics of two-dimensional conformal field theory dual to black holes
• Tipler Naked Singularities in $N$ Dimensions
• Integrable models associated with Myers-Perry-AdS-dS black hole in diverse dimensions
• Gravitational Perturbation and Kerr/CFT Correspondence
• Comments on Sen's Classical Entropy Function for Static and Rotating AdS${}_4$ Black Holes
• Near-Extremal Kerr AdS2xS2 Solution and Black-Hole/Near-Horizion-CFT Duality
• Regular Black Holes: Entropy Products and Central Charges
• Hidden Conformal Symmetry for Vector Field on Various Black Hole Backgrounds
• Fluctuating Black Hole Horizons
• Extremal RN/CFT in Both Hands Revisited
• Central charges for Kerr and Kerr-AdS black holes in diverse dimensions
• Emergent Symmetry on Black Hole Horizons
• Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT${}_2$ and Viscosity
• Near Horizon of 5D Rotating Black Holes from 2D Perspective
• Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS${}_4$ Black Holes
• Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity
• Higher-dimensional black holes with multiple equal rotations
• Kerr/CFT from phase space formalism
• FRW Universe in Horava Gravity
• On the Kerr-AdS/CFT correspondence