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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• Discrete JT gravity as an Ising model
• Subregion duality, wedge classification and no global symmetries in AdS/CFT
• Strong subadditivity and holography
• Cryptographic tests of the python's lunch conjecture
• Does connected wedge imply distillable entanglement?
• Inflation from entropy
• Island rules for the noncommutative black hole
• Phase Transitions of Correlations in Black Hole Geometries
• Causal shadow and non-local modular flow: from degeneracy to perturbative genesis by correlation
• Bulk quantum corrections to entwinement
• Gravity from thermodynamics in vacuum: Lorentz invariance and the role of Bel-Robinson tensor
• Entanglement entropy of non-local theories in AdS
• Estimating time in quantum chaotic systems and black holes
• Perturbative distinguishability of black hole microstates from AdS/CFT correspondence
• Markov Gap and Bound Entanglement in Haar Random State
• Mutual information and holographic entanglement entropy for strongly-coupled R-charged plasmas
• Effects of Non-Conformal Boundary on Entanglement Entropy
• Entanglement Entropy and Complexity in Dyonic Quantum Black Holes
• Geometry of Entanglement
• Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$
• Island of acoustic black hole in Schwarzschild spacetime
• Spherically symmetric black holes in Gravity from Entropy and spontaneous emission
• Covariant odd entanglement entropy in AdS${}_3$/CFT${}_2$
• Is the EMI model a QFT? An inquiry on the space of allowed entropy functions
• Bounding Entanglement Entropy with Clifford Double Cosets
• Holography and the Page curve of an evaporating black hole
• Thermodynamics of the 3-dimensional Einstein-Maxwell system
• Monotonicity of RG flow in emergent dual holography of worldsheet nonlinear $\sigma$ model
• Massless graviton in a model of quantum gravity with emergent spacetime
• Renyi reflected entropy and entanglement wedge cross section with cosmic branes in AdS/BCFT
• Information conservation in de Sitter tunneling
• Entanglement Temperature and Perturbed AdS${}_3$ Geometry
• Noncommutative corrections to the minimal surface areas of the pure AdS spacetime and Schwarzschild-AdS black hole
• Replica wormhole and AMPS firewall
• Black hole thermodynamics probes the equivalence principle
• A spool for every quotient: One-loop partition functions in AdS${}_3$ gravity
• Bulk entanglement and its shape dependence
• Thermodynamics of spacetime from minimal area
• Holographic Entanglement Entropy for Brane-World Higher Derivative Gravity
• Local Geometric Bounds on Generalized Entropy Evolution along Null Horizons
• Entropy of Hawking Radiation for Two-Sided Hyperscaling Violating Black Branes
• Disks globally maximize the entanglement entropy in $2+1$ dimensions
• Cosmological constant as quantum error correction from generalised gauge invariance in double field theory
• Holography for de Sitter bubble geometries
• $1/N$ correction in holographic Wilson loop from quantum gravity
• The generalized first law for more general matter
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
• Probing the Factorized Island Branch with the Capacity of Entanglement in JT Gravity
• Holographic Tensor Networks as Tessellations of Geometry
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair
• Entanglement Entropy Evolution under Double-trace Deformation
• Quantum Chaos and Unitary Black Hole Evaporation