Holographic Holes in Higher Dimensions
arXiv:1403.3416 · doi:10.1007/JHEP06(2014)044
Abstract
We extend the holographic construction from AdS3 to higher dimensions. In particular, we show that the Bekenstein-Hawking entropy of codimension-two surfaces in the bulk with planar symmetry can be evaluated in terms of the 'differential entropy' in the boundary theory. The differential entropy is a certain quantity constructed from the entanglement entropies associated with a family of regions covering a Cauchy surface in the boundary geometry. We demonstrate that a similar construction based on causal holographic information fails in higher dimensions, as it typically yields divergent results. We also show that our construction extends to holographic backgrounds other than AdS spacetime and can accommodate Lovelock theories of higher curvature gravity.
46 pages, 17 figures, 1 appendix
References in corpus (13)
- Towards a derivation of holographic entanglement entropy
- Holographic c-theorems in arbitrary dimensions
- Viscosity Bound and Causality Violation
- Causality & holographic entanglement entropy
- Seeing a c-theorem with holography
- A holographic proof of the strong subadditivity of entanglement entropy
- Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
- On Holographic Entanglement Entropy and Higher Curvature Gravity
- Shear Viscosity from Effective Couplings of Gravitons
- Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
- Holographic Holes and Differential Entropy
- Lovelock theories, holography and the fate of the viscosity bound
- On the Architecture of Spacetime Geometry
Cited by in corpus (23)
- Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
- Surface/State Correspondence as a Generalized Holography
- Entwinement and the emergence of spacetime
- Holographic Holes and Differential Entropy
- Nuts and Bolts for Creating Space
- Twist operators in higher dimensions
- Holographic Reconstruction of General Bulk Surfaces
- Entwinement in discretely gauged theories
- WdW-patches in AdS and complexity change under conformal transformations II
- Black Holes, Entanglement and Random Matrices
- Covariant Residual Entropy
- Kinematic space for conical defects
- Kinematic Space and Wormholes
- Holographic torus entanglement and its RG flow
- Integral Geometry and Holography
- Deriving the First Law of Black Hole Thermodynamics without Entanglement
- Strong Subadditivity and Emergent Surface
- A Holographic Approach to Spacetime Entanglement
- Reconstruction of an AdS Radiation/Boson Star Bulk Geometry Using Light-cone Cuts
- Building bulk from Wilson loops
- Quantum Information Approaches to Quantum Gravity
- Conformal Rigidity from Focusing
- Target space entanglement in quantum mechanics of fermions at finite temperature