Holographic Entanglement Entropy, Field Redefinition Invariance and Higher Derivative Gravity Theories

Abstract

It is established that physical observables in local quantum field theories should be invariant under invertible field redefinitions. It is then expected that this statement should be true for the entanglement entropy and moreover that, via the gauge/gravity correspondence, the recipe for computing entanglement entropy holographically should also be invariant under local field redefinitions in the gravity side. We use this fact to fix the recipe for computing holographic entanglement entropy (HEE) for $f(R,R_{\mu \nu })$ theories which could be mapped to Einstein gravity. An outcome of our prescription is that the surfaces that minimize the corresponding HEE functional for $f(R,R_{\mu \nu })$ theories always have vanishing trace of extrinsic curvature and that the HEE may be evaluated using the Wald entropy functional. We show that similar results follow from the FPS and Dong HEE functionals, for Einstein manifold backgrounds in $f(R,R_{\mu \nu })$ theories.

arXiv comment22 pages,1 figure, minor improvements, references added

References in corpus (48)

• f(R) Theories Of Gravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• 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
• Geometric and Renormalized Entropy in Conformal Field Theory
• Generalized gravitational entropy
• Massive Gravity in Three Dimensions
• Holographic Entanglement Entropy: An Overview
• On Black Hole Entropy
• Holographic c-theorems in arbitrary dimensions
• On Physical Equivalence between Nonlinear Gravity Theories
• Seeing a c-theorem with holography
• Holographic Entanglement Entropy for General Higher Derivative Gravity
• Entanglement entropy, conformal invariance and extrinsic geometry
• A holographic proof of the strong subadditivity of entanglement entropy
• Beyond eta/s = 1/4pi
• Generalized entropy and higher derivative Gravity
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• Holographic Entanglement Entropy in Lovelock Gravities
• Aspects of Quadratic Gravity
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• Universality of corner entanglement in conformal field theories
• Generalized Gravity and a Ghost
• Holographic entanglement plateaux
• Distributional Geometry of Squashed Cones
• Statistical Entropy of BTZ Black Hole in Higher Curvature Gravity
• Holographic Entanglement Entropy for the Most General Higher Derivative Gravity
• Holographic Holes and Differential Entropy
• On generalized gravitational entropy, squashed cones and holography
• Entanglement entropy in higher derivative holography
• On Spacetime Entanglement
• Exact and Numerical Results on Entanglement Entropy in (5+1)-Dimensional CFT
• On entanglement entropy functionals in higher derivative gravity theories
• Auxiliary fields representation for modified gravity models
• Equivalence of black hole thermodynamics between a generalized theory of gravity and the Einstein theory
• Multi-Scalar-Tensor Equivalents for Modified Gravitational Actions
• Note on generalized gravitational entropy in Lovelock gravity
• Conditions on holographic entangling surfaces in higher curvature gravity
• Generalized gravitational entropy without replica symmetry
• A Note on Holographic Weyl Anomaly and Entanglement Entropy
• Spacetime Entanglement with f(R) Gravity
• Holographic Entanglement Entropy for 4D Conformal Gravity
• Holographic entanglement entropy from minimal surfaces with/without extrinsic curvature
• Free-kick condition for entanglement entropy in higher curvature gravity

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