Generalized entropy and higher derivative Gravity

Abstract

We derive an extension of the Ryu-Takayanagi prescription for curvature squared theories of gravity in the bulk, and comment on a prescription for more general theories. This results in a new entangling functional, that contains a correction to Wald's entropy. The new term is quadratic in the extrinsic curvature. The coefficient of this correction is a second derivative of the lagrangian with respect to the Riemann tensor. For Gauss-Bonnet gravity, the new functional reduces to Jacobson-Myers'.

v4: further sign corrections in sec 2, main conclusions unaltered. Added comments comparing to Iyer-Wald's in section 5. Version to appear in JHEP

References in corpus (11)

• Towards a derivation of holographic entanglement entropy
• Holographic c-theorems in arbitrary dimensions
• Holographic Entanglement Entropy for General Higher Derivative Gravity
• Entanglement entropy, conformal invariance and extrinsic geometry
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• Distributional Geometry of Squashed Cones
• On generalized gravitational entropy, squashed cones and holography
• Entanglement entropy in higher derivative holography
• Note on generalized gravitational entropy in Lovelock gravity
• On the Architecture of Spacetime Geometry
• Entanglement Entropy for Logarithmic Conformal Field Theory

Cited by in corpus (182)

• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
• Causality & holographic entanglement entropy
• The Ryu-Takayanagi Formula from Quantum Error Correction
• The Gravity Dual of Renyi Entropy
• A Quantum Focussing Conjecture
• Entanglement entropy: holography and renormalization group
• Deriving covariant holographic entanglement
• On entanglement spreading in chaotic systems
• Universality of corner entanglement in conformal field theories
• Geometric entropy and edge modes of the electromagnetic field
• Flat entanglement spectra in fixed-area states of quantum gravity
• Local phase space and edge modes for diffeomorphism-invariant theories
• Nonlinear Gravity from Entanglement in Conformal Field Theories
• Entropy, Extremality, Euclidean Variations, and the Equations of Motion
• Aspects of general higher-order gravities
• De Sitter Holography and Entanglement Entropy
• A Second Law for Higher Curvature Gravity
• Observations of Hawking radiation: the Page curve and baby universes
• Rényi entropy and conformal defects
• Holographic Entanglement Entropy for the Most General Higher Derivative Gravity
• Generalized entropy for general subregions in quantum gravity
• Holographic Holes in Higher Dimensions
• Holographic entanglement entropy and gravitational anomalies
• Holographic Holes and Differential Entropy
• Bulk Emergence and the RG Flow of Entanglement Entropy
• Geometric Aspects of Holographic Bit Threads
• Entanglement Wedge Reconstruction and Entanglement of Purification
• Canonical Energy is Quantum Fisher Information
• Entanglement entropy across a deformed sphere
• Corner contributions to holographic entanglement entropy
• Entanglement Entropy: A Perturbative Calculation
• Higher Spin Entanglement and W_N Conformal Blocks
• Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity
• Gravitational Edge Modes, Coadjoint Orbits, and Hydrodynamics
• Complexity Equals Anything II
• Universality in the geometric dependence of Renyi entropy
• Some Aspects of Entanglement Wedge Cross-Section
• Holographic studies of Einsteinian cubic gravity
• Entanglement Entropy for Relevant and Geometric Perturbations
• Holographic entropy relations
• Shape Dependence of Holographic Rényi Entropy in General Dimensions
• Entanglement equilibrium for higher order gravity
• On entanglement entropy functionals in higher derivative gravity theories
• Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity
• The holographic entropy increases in quadratic curvature gravity
• Entangled de Sitter from Stringy Axionic Bell pair I: An analysis using Bunch Davies vacuum
• Quantum entanglement in de Sitter space from Stringy Axion: An analysis using $\alpha$ vacua
• A Holographic Proof of Rényi Entropic Inequalities
• Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity
• Holographic entanglement chemistry
• Constraining gravity using entanglement in AdS/CFT
• One-loop universality of holographic codes
• Entanglement Island and Page Curve in Wedge Holography
• f(Lovelock) theories of gravity
• The Holographic Shape of Entanglement and Einstein's Equations
• Bit Threads in Higher Curvature Gravity
• Conditions on holographic entangling surfaces in higher curvature gravity
• Universal entanglement for higher dimensional cones
• Generalized gravitational entropy without replica symmetry
• Holographic stress tensor at finite coupling
• Quantum Information Scrambling: From Holography to Quantum Simulators
• Heat kernel methods for Lifshitz theories
• General Results for Higher Spin Wilson Lines and Entanglement in Vasiliev Theory
• Surface Theory: the Classical, the Quantum, and the Holographic
• Renormalization group flow of entanglement entropy on spheres
• On holographic entanglement entropy of Horndeski black holes
• Higher Curvature Gravity from Entanglement in Conformal Field Theories
• Anomalies of the Entanglement Entropy in Chiral Theories
• Lovelock action with nonsmooth boundaries
• Holographic thermalization in Gauss-Bonnet gravity with de Sitter boundary
• Topological aspects of generalized gravitational entropy
• Exploring the Membrane Theory of Entanglement Dynamics
• Extending the scope of holographic mutual information and chaotic behavior
• Holographic Renyi Entropy at High Energy Density
• Covariant entanglement wedge cross-section, balanced partial entanglement and gravitational anomalies
• Entropy functionals and c-theorems from the second law
• Mutual information and the F-theorem
• Towards a second law for Lovelock theories
• Entanglement Entropy and D1-D5 geometries
• Gravity duals of boundary cones
• Higher-curvature corrections to holographic entanglement entropy in geometries with hyperscaling violation
• A Survey of Black Hole Thermodynamics
• A note on the resolution of the entropy discrepancy
• Holographic Entanglement Entropy, Field Redefinition Invariance and Higher Derivative Gravity Theories
• Quantum bit threads
• On Holographic Entanglement Entropy with Second Order Excitations
• State-Dependent Divergences in the Entanglement Entropy
• Entanglement and mutual information in two-dimensional nonrelativistic field theories
• Holographic entanglement entropy for perturbative higher-curvature gravities
• Bootstrapping Quantum Extremal Surfaces I: The Area Operator
• Spacetime Entanglement with f(R) Gravity
• Removing Ostrogradski ghost from degenerate gravity theories
• Entanglement from Dissipation and Holographic Interpretation
• Entropy vs Gravitational Action: Do Total Derivatives Matter?
• Renormalized holographic entanglement entropy in Lovelock gravity
• All the entropies on the light-cone
• Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
• Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
• Effective Action, Spectrum and First Law of Wedge Holography
• Algebras and Hilbert spaces from gravitational path integrals: Understanding Ryu-Takayanagi/HRT as entropy without AdS/CFT
• Covariant Noether Charge for Higher Dimensional Chern-Simons Terms
• Dynamics of the Area Law of Entanglement Entropy
• Holographic Entanglement for Chern-Simons Terms
• On the Shape Dependence of Entanglement Entropy
• Entanglement Entropy and Phase Portrait of f(R)-AdS Black Holes in the Grand Canonical Ensemble
• Renormalized holographic entanglement entropy for Quadratic Curvature Gravity
• The Spacetime Geometry of Fixed-Area States in Gravitational Systems
• Heavy Fields and Gravity
• A Tale of Two Butterflies: An Exact Equivalence in Higher-Derivative Gravity
• Quantum bit threads and holographic entanglement
• Quantum information probes of charge fractionalization in large-$N$ gauge theories
• The refined quantum extremal surface prescription from the asymptotic equipartition property
• On actions for (entangling) surfaces and DCFTs
• Entanglement entropy for free scalar fields in AdS
• Nonlinear constraints on gravity from entanglement
• Violating the Quantum Focusing Conjecture and Quantum Covariant Entropy Bound in $d\ge 5$ dimensions
• Electric hyperscaling violating solutions in Einstein-Maxwell-dilaton gravity with R^2 corrections
• Entropy for gravitational Chern-Simons terms by squashed cone method
• Comments on universal properties of entanglement entropy and bulk reconstruction
• Islands and Uhlmann phase: Explicit recovery of classical information from evaporating black holes
• What's the Point? Hole-ography in Poincare AdS
• Emergent Gravity in a Holographic Universe
• Anomalies, Chern-Simons Terms and Black Hole Entropy
• Free-kick condition for entanglement entropy in higher curvature gravity
• CFT correlators from shape deformations in Cubic Curvature Gravity
• Entropy discrepancy and total derivatives in trace anomaly
• Ghost Problem, Spectrum Identities and Various Constraints on Brane-localized Gravity
• Holographic Entanglement negativity in flat space generalized minimal massive gravity
• Holographic entanglement entropy from minimal surfaces with/without extrinsic curvature
• Universal Terms of Entanglement Entropy for 6d CFTs
• On the Shape of Things: From holography to elastica
• Large D membrane for Higher Derivative Gravity and Black Hole Second Law
• Generalized Gravitational Entropy of Interacting Scalar Field and Maxwell Field
• Holographic Rényi Entropy and Generalized Entropy method
• Holographic equivalence between the first law of entanglement entropy and the linearized gravitational equations
• Non-analyticity of holographic Rényi entropy in Lovelock gravity
• Generalized Gravitational Entropy from Total Derivative Action
• Deriving the First Law of Black Hole Thermodynamics without Entanglement
• Topological string entanglement
• Thin-shell wormholes in AdS${}_5$ and string dioptrics
• Holographic Entanglement Entropy in NMG
• Holographic thermalization in AdS-Gauss-Bonnet gravity for small entangled regions
• Holographic entanglement from the UV to the IR
• On the Entropy Cone for Large Regions at Late Times
• Cone Holography with Neumann Boundary Conditions and Brane-localized Gauge Fields
• Notes on Derivation of 'Generalized Gravitational Entropy'
• Holographic entanglement entropy for small subregions and thermalization of Born-Infeld AdS black holes
• Entanglement temperature for black branes with hyperscaling violation
• RG Flow and Thermodynamics of Causal Horizons in Higher-Derivative AdS Gravity
• On the first law of entanglement for Quasi-Topological gravity
• Relative Entropy, Mixed Gauge-Gravitational Anomaly and Causality
• Constraining higher order gravities with subregion duality
• A holographic proof of the universality of corner entanglement for CFTs
• Renormalized Entanglement Entropy on Cylinder
• A perturbative study on the analytic continuation for generalized gravitational entropy
• Higher-Curvature Gravity, Black Holes and Holography
• RG Flow and Thermodynamics of Causal Horizons in AdS
• The Holographic Entanglement Entropy of Schwarzschild Black Holes
• Spinning probes and helices in AdS${}_3$
• Holographic Entanglement Entropy for Gravitational Anomaly in Four Dimensions
• Entanglement in conformal field theory and holography
• Apparent Horizons Associated with Dynamical Black Hole Entropy
• Iyer-Wald ambiguities and gauge covariance of Entropy current in Higher derivative theories of gravity
• Geometric Flow Description of Minimal Surfaces
• QCD, with Strings Attached
• Generalised proofs of the first law of entanglement entropy
• Gravity dualities of quantum distances
• Linearization (in)stabilities and crossed products
• Topological Entanglement Entropy, Ground State Degeneracy and Holography
• Entanglement, anomalies and Mathisson's helices
• Euclidean and complex geometries from real-time computations of gravitational Rényi entropies
• Second-order Lovelock Gravity from Entanglement in Conformal Field Theories
• Entanglement entropy in cubic gravitational theories
• Holographic Entanglement Entropy for Brane-World Higher Derivative Gravity
• Weak Minimal Area In Entanglement Entropy
• The trace of field equations for higher-derivative gravity and an equality associating the Lagrangian density with a divergence term
• Entanglement Temperature With Gauss-Bonnet Term
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair
• Higher-curvature Corrections to Holographic Entanglement with Momentum Dissipation
• Extended First Law for Entanglement Entropy in Lovelock Gravity
• Bulk entanglement and its shape dependence