Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1

Abstract

We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS2/CFT1. As an explicit example, we study near extremal BTZ black holes and derive this claim from AdS3/CFT2. We also analytically compute the entanglement entropy in the two dimensional CFT of a free Dirac fermion compactified on a circle at finite temperature. From this result, we clarify the relation between the thermal entropy and entanglement entropy, which is essential for the entanglement interpretation of black hole entropy.

arXiv commentLaTeX, 32 pages, 7 figures; refinement in the organization

References in corpus (53)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• The Black Hole in Three Dimensional Space Time
• Entanglement Entropy and Quantum Field Theory
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Aspects of Holographic Entanglement Entropy
• Entropy and Area
• A Covariant Holographic Entanglement Entropy Proposal
• Geometry of the 2+1 Black Hole
• Geometric and Renormalized Entropy in Conformal Field Theory
• Eternal Black Holes in AdS
• AdS3 Black Holes and a Stringy Exclusion Principle
• Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
• D-brane Approach to Black Hole Quantum Mechanics
• On Black Hole Entropy
• Black Hole Entropy in M-Theory
• The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
• Entropy, Area, and Black Hole Pairs
• Entanglement as a Probe of Confinement
• Wormholes in AdS
• Near-horizon symmetries of extremal black holes
• Entanglement and alpha entropies for a massive Dirac field in two dimensions
• AdS2 Quantum Gravity and String Theory
• Rotating Attractors
• On the Description of the Riemannian Geometry in the Presence of Conical Defects
• Black hole thermodynamics and information loss in two dimensions
• Inside the Horizon with AdS/CFT
• Instantons on D-branes
• Proof of the Holographic Formula for Entanglement Entropy
• DeSitter entropy, quantum entanglement and ADS/CFT
• A Black Hole Farey Tail
• AdS Bubbles, Entropy and Closed String Tachyons
• Vacuum States for AdS_2 Black Holes
• Black hole entropy as entanglement entropy: a holographic derivation
• Black Hole Entropy and Induced Gravity
• Entropies of Scalar Fields on Three Dimensional Black Holes
• Stationary black holes and attractor mechanism
• Superconformal Black Hole Quantum Mechanics
• Entanglement entropy of black holes and AdS/CFT correspondence
• Strings in the Extended BTZ Spacetime
• Entanglement Interpretation of Black Hole Entropy in String Theory
• Beyond the veil: Inner horizon instability and holography
• D0-branes in Black Hole Attractors
• Holography beyond the horizon and cosmic censorship
• Entanglement entropy of two-dimensional Anti-de Sitter black holes
• D4-D0 Branes on the Quintic
• Entanglement entropy and quantum field theory: a non-technical introduction
• Lodged in the throat: Internal infinities and AdS/CFT
• Induced gravity and entanglement entropy of 2D black holes

Cited by in corpus (122)

• Entanglement entropy and conformal field theory
• Holographic Entanglement Entropy: An Overview
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Entanglement entropy of black holes
• Entanglement Entropy at Large Central Charge
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• CFT Duals for Extreme Black Holes
• Entanglement Entropy from a Holographic Viewpoint
• Holographic entanglement plateaux
• What is a chiral 2d CFT? And what does it have to do with extremal black holes?
• Extremal limits and black hole entropy
• Near Extremal Kerr Entropy from AdS_2 Quantum Gravity
• Timelike entanglement entropy
• Holographic Duals of Kaluza-Klein Black Holes
• State Operator Correspondence and Entanglement in AdS_2/CFT_1
• The Kerr/CFT Correspondence and String Theory
• Universal Thermal Corrections to Single Interval Entanglement Entropy for Conformal Field Theories
• Holographic Quantum Circuits from Splitting/Joining Local Quenches
• Entanglement Entropy of a Massive Fermion on a Torus
• Ads(3)/CFT(2) to Ads(2)/CFT(1)
• Finite-temperature entanglement negativity of free fermions
• Single Interval Rényi Entropy At Low Temperature
• Black Hole Microstate Counting and its Macroscopic Counterpart
• Renyi entropies of free bosons on the torus and holography
• Universal Thermal Corrections to Entanglement Entropy for Conformal Field Theories on Spheres
• Tensor Network and Black Hole
• Double Local Quenches in 2D CFTs and Gravitational Force
• Towards Black Hole Evaporation in Jackiw-Teitelboim Gravity
• Evolution of entanglement entropy in the D1-D5 brane system
• Holographic entanglement entropy of the BTZ black hole
• Entanglement Entropy of Two Coupled SYK Models and Eternal Traversable Wormhole
• Topological pseudo entropy
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Moduli flow and non-supersymmetric AdS attractors
• Entanglement Entropy in Quantum Gravity and the Plateau Problem
• Decoherence in Conformal Field Theory
• Entanglement Entropy of Extremal BTZ
• Rotating traversable wormholes in AdS
• Holographic Calculation for Large Interval Rényi Entropy at High Temperature
• Conformal perturbation theory and higher spin entanglement entropy on the torus
• Lorentzian AdS, Wormholes and Holography
• Subregion Spectrum Form Factor via Pseudo Entropy
• Note on Rényi entropy of 2D perturbed free fermions
• Entanglement Hamiltonians and entropy in 1+1D chiral fermion systems
• Universal relation between thermal entropy and entanglement entropy in CFT
• The entanglement and relative entropy of a chiral fermion on the torus
• Holographic Entanglement Entropy For a Large Class of States in 2D CFT
• Hawking Radiation and Quantum Anomaly in AdS2/CFT1 Correspondence
• Three Dimensional Origin of AdS_2 Quantum Gravity
• Deformed conformal symmetry of Kerr-Newman-NUT-AdS black holes
• An invitation to the principal series
• Large Interval Limit of Rényi Entropy At High Temperature
• Holographic Entanglement Entropy, Field Redefinition Invariance and Higher Derivative Gravity Theories
• Rényi Entropy of Free Compact Boson on Torus
• Information Scrambling Versus Quantum Revival Through the Lens of Operator Entanglement
• Multi-entropy at low Renyi index in 2d CFTs
• Wess-Zumino Consistency Condition for Entanglement Entropy
• Holographic descriptions of (near-)extremal black holes in five dimensional minimal supergravity
• New AdS${}_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics
• Higher-Dimensional Symmetry of AdS${}_2\times$S${}^2$ Correlators
• Entanglement, Replicas, and Thetas
• An Alternative Method for Extracting the von Neumann Entropy from Renyi Entropies
• Holographic Geometric Entropy at Finite Temperature from Black Holes in Global Anti de Sitter Spaces
• Monodromy methods for torus conformal blocks and entanglement entropy at large central charge
• States of a chiral 2d CFT
• Entanglement of a chiral fermion on the torus
• AdS2/CFT1, Whittaker vector and Wheeler-De Witt equation
• Thermal Corrections to Renyi Entropies for Conformal Field Theories
• Thermodynamics of extremal rotating thin shells in an extremal BTZ spacetime and the extremal black hole entropy
• Island of Reissner-Nordstr$\ddot{\mathbf{o}}$m anti-de Sitter black holes in the large $d$ limit
• Real-time gravitational replicas: Low dimensional examples
• The quantum cat map on the modular discretization of extremal black hole horizons
• Corrections to holographic entanglement plateau
• An entropy perspective on the thermal crossover in a fermionic Hubbard chain
• Holographic subregion complexity of a 1+1 dimensional $p$-wave superconductor
• Universal Local Operator Quenches and Entanglement Entropy
• Holographic Entanglement Entropy in Boundary Quantum Field Theory
• Rényi entropy and subsystem distances in finite size and thermal states in critical XY chains
• Superconformal Quantum Mechanics from M2-branes
• Entanglement entropy of two dimensional systems and holography
• Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy
• Scaling of the von Neumann entropy across a finite temperature phase transition
• AdS/CFT Correspondence with a 3D Black Hole Simulator
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Entanglement Entropy with Background Gauge Fields
• Extremal Black Hole Entropy from Horizon Conformal Field Theories
• The entanglement entropy of typical pure states and replica wormholes
• Wormholes and the Thermodynamic Arrow of Time
• Time dependent Entanglement Entropy in SYK models and Page Curve
• On 5D Small Black Holes
• Correlator of Wilson and t'Hooft Loops at Strong Coupling in $\mathcal{N}=4$ SYM Theory
• Topological Entanglement Entropy in Euclidean AdS3 via Surgery
• Rényi entropy at large energy density in 2D CFT
• Entanglement growth during Van der Waals like phase transition
• Replica trick and string winding
• The Holographic Entanglement Entropy of Schwarzschild Black Holes
• Rényi entropies of the massless Dirac field on the torus
• Rényi Entropy for a $2d$ CFT with a gauge field: $\widehat{\mathrm{SU}}(\mathbf{N}{)}_1$ WZW theory on a branched torus
• A perturbative expansion for entanglement entropy in string theory
• Bulk-boundary entanglement correspondence and the Ryu-Takayanagi conjecture in an $Ad{S}_2/CF{T}_1$ setup
• Entanglement Entropy for Open Bosonic Strings on $Dp$-branes
• Rényi Entropy for the $\sun1$ WZW model on the torus
• The quantum $p$-spin glass model: A user manual for holographers
• Unusual Corrections to the Scaling of the Entanglement Entropy of the Excited states in Conformal Field Theory
• Monstrous entanglement
• Thermalization and non-monotonic entanglement growth in an exactly solvable model
• Schwarzschild Black Holes and Asymptotic $Ad{S}_2$
• Left-Right Entanglement Entropy of Dp-branes
• Entanglement entropy and Wilson loop
• Holographic Entanglement and Causal Shadow in Time-Dependent Janus Black Hole
• How is the Presence of Horizons and Localized Matter Encoded in the Entanglement Entropy?
• Local geometry from entanglement entropy
• Near horizon superconformal symmetry of rotating BPS black holes in five dimensions
• Cosmology as a CFT${}_1$
• A Lie algebra based approach to asymptotic symmetries in general relativity
• Thermal Correction to Entanglement Spectrum for Conformal Field Theories
• Probing black hole entropy via entanglement
• Holographic JT gravity with quartic couplings
• Conformal Quivers and Melting Molecules
• AdS black holes in two-dimensional dilaton gravity and holography
• Computing Black Hole Entropy at Infinity
• QFT Entanglement Entropy, 2D Fermion and Gauge Fields