Holographic Entanglement Entropy for Brane-World Higher Derivative Gravity

Abstract

Due to the splitting problem, it is difficult to derive the holographic entanglement entropy for general higher derivative gravity. Inspired by double holography and renormalized entanglement entropy, we develop a method to derive the generalized gravitational entropy for the brane-world higher derivative (BWHD) gravity. Remarkably, this approach is independent of the splitting problem. The so-called BWHD gravity is an effective theory on the brane, given by the counter terms of holographic renormalization. Interestingly, all solutions to Einstein gravity are also solutions to BWHD gravity. We first verify our approach can derive the correct results for curvature-squared gravity and then derive the holographic entanglement entropy for cubic BWHD gravity, which is the main result of this paper. We also derive the entropy of quartic BWHD gravity in flat space with constant extrinsic curvatures and perform several tests on our results. Finally, we briefly comment on our results.

27 pages, 0 figure, references added, published in JHEP

References in corpus (32)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• The World as a Hologram
• Black Hole Entropy is Noether Charge
• A Stress Tensor for Anti-de Sitter Gravity
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Generalized gravitational entropy
• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• Quantum corrections to holographic entanglement entropy
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• The Page curve of Hawking radiation from semiclassical geometry
• Holographic GB gravity in arbitrary dimensions
• Holographic Entanglement Entropy for General Higher Derivative Gravity
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• Holographic Superconductors with Higher Curvature Corrections
• Generalized entropy and higher derivative Gravity
• Diffeomorphisms and Holographic Anomalies
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• Holographic Entanglement Entropy in Lovelock Gravities
• Entanglement Entropy, Trace Anomalies and Holography
• Entropy, Extremality, Euclidean Variations, and the Equations of Motion
• A Second Law for Higher Curvature Gravity
• Holographic Entanglement Entropy for the Most General Higher Derivative Gravity
• Quantum BTZ black hole
• Renormalized entanglement entropy
• Higher-curvature Gravities from Braneworlds and the Holographic c-theorem
• Gravity duals of boundary cones
• Holographic entanglement entropy for perturbative higher-curvature gravities
• Renormalization of Entanglement Entropy from topological terms
• Dynamical Black Hole Entropy in Effective Field Theory
• Effective Action, Spectrum and First Law of Wedge Holography
• Nonlocal Massive Gravity from Einstein Gravity
• Holographic entanglement from the UV to the IR