Quantum corrections to holographic entanglement entropy

Abstract

We consider entanglement entropy in quantum field theories with a gravity dual. In the gravity description, the leading order contribution comes from the area of a minimal surface, as proposed by Ryu-Takayanagi. Here we describe the one loop correction to this formula. The minimal surface divides the bulk into two regions. The bulk loop correction is essentially given by the bulk entanglement entropy between these two bulk regions. We perform some simple checks of this proposal.

21 pages, 10 figures. V2: reference added

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• Estimating time in quantum chaotic systems and black holes
• Entanglement Temperature and Perturbed AdS${}_3$ Geometry
• Gravity from thermodynamics in vacuum: Lorentz invariance and the role of Bel-Robinson tensor
• Spherically symmetric black holes in Gravity from Entropy and spontaneous emission
• Is the EMI model a QFT? An inquiry on the space of allowed entropy functions
• Island of acoustic black hole in Schwarzschild spacetime
• Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$
• Markov Gap and Bound Entanglement in Haar Random State
• Effects of Non-Conformal Boundary on Entanglement Entropy
• Monotonicity of RG flow in emergent dual holography of worldsheet nonlinear $\sigma$ model
• Information conservation in de Sitter tunneling
• Covariant odd entanglement entropy in AdS${}_3$/CFT${}_2$
• Bounding Entanglement Entropy with Clifford Double Cosets
• Perturbative distinguishability of black hole microstates from AdS/CFT correspondence
• Renyi reflected entropy and entanglement wedge cross section with cosmic branes in AdS/BCFT
• Entanglement Entropy and Complexity in Dyonic Quantum Black Holes
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
• Holographic Entanglement Entropy for Brane-World Higher Derivative Gravity
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair
• Cosmological constant as quantum error correction from generalised gauge invariance in double field theory
• Black hole thermodynamics probes the equivalence principle
• A spool for every quotient: One-loop partition functions in AdS${}_3$ gravity
• Holography for de Sitter bubble geometries
• Holographic Tensor Networks as Tessellations of Geometry
• Probing the Factorized Island Branch with the Capacity of Entanglement in JT Gravity
• Local Geometric Bounds on Generalized Entropy Evolution along Null Horizons
• Entanglement Entropy Evolution under Double-trace Deformation
• Replica wormhole and AMPS firewall
• Noncommutative corrections to the minimal surface areas of the pure AdS spacetime and Schwarzschild-AdS black hole
• $1/N$ correction in holographic Wilson loop from quantum gravity
• Entropy of Hawking Radiation for Two-Sided Hyperscaling Violating Black Branes
• The generalized first law for more general matter
• Quantum Chaos and Unitary Black Hole Evaporation
• Thermodynamics of spacetime from minimal area
• Disks globally maximize the entanglement entropy in $2+1$ dimensions
• Bulk entanglement and its shape dependence