Entanglement entropy of black holes and AdS/CFT correspondence

Abstract

A recent proposal by Ryu and Takayanagi for a holographic interpretation of entanglement entropy in conformal field theories dual to supergravity on anti-de Sitter (adS) is generalized to include entanglement entropy of black holes living on the boundary of adS. The generalized proposal is verified in boundary dimensions $d=2$ and $d=4$ for both the UV divergent and UV finite terms. In dimension $d=4$ an expansion of entanglement entropy in terms of size $L$ of the subsystem outside the black hole is considered. A new term in the entropy of dual strongly coupled CFT, which universally grows as $L^2\ln L$ and is proportional to the value of the obstruction tensor at the black hole horizon, is predicted.

5 pages; minor typos corrected, minor changes in text. Version accepted for publication in Phys. Rev. Lett

References in corpus (3)

• Black hole entropy as entanglement entropy: a holographic derivation
• Entanglement Entropy in Critical Phenomena and Analogue Models of Quantum Gravity
• Holographic entanglement entropy of de Sitter braneworld

Cited by in corpus (18)

• Entanglement entropy, conformal invariance and extrinsic geometry
• Remarks on the entanglement entropy for disconnected regions
• Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
• Entanglement entropy in Galilean conformal field theories and flat holography
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• Entanglement Entropy and Twist Fields
• Holographic Entanglement Entropy in P-wave Superconductor Phase Transition
• Entanglement entropy of round spheres
• Entanglement Entropy in Quantum Gravity and the Plateau Problem
• Black Hole Entropy and Gravity Cutoff
• What surface maximizes entanglement entropy?
• Numerical metric extraction in AdS/CFT
• Entanglement entropy of two-dimensional Anti-de Sitter black holes
• Newton constant, contact terms and entropy
• Holographic Complexity and Fidelity Susceptibility as Holographic Information Dual to Different Volumes in AdS
• Entanglement entropy and the Ricci flow
• How General Is Holography?
• Entropy of Thermal CFTs on Curved Backgrounds