Constraining gravity using entanglement in AdS/CFT
arXiv:1401.5089 · doi:10.1007/JHEP05(2014)029
Abstract
We investigate constraints imposed by entanglement on gravity in the context of holography. First, by demanding that relative entropy is positive and using the Ryu-Takayanagi entropy functional, we find certain constraints at a nonlinear level for the dual gravity. Second, by considering Gauss-Bonnet gravity, we show that for a class of small perturbations around the vacuum state, the positivity of the two point function of the field theory stress tensor guarantees the positivity of the relative entropy. Further, if we impose that the entangling surface closes off smoothly in the bulk interior, we find restrictions on the coupling constant in Gauss-Bonnet gravity. We also give an example of an anisotropic excited state in an unstable phase with broken conformal invariance which leads to a negative relative entropy.
36 pages, 3 figures, v4: fig 1 modified
References in corpus (13)
- Towards a derivation of holographic entanglement entropy
- Conformal collider physics: Energy and charge correlations
- Holographic c-theorems in arbitrary dimensions
- Viscosity Bound and Causality Violation
- Gravitation from Entanglement in Holographic CFTs
- Beyond eta/s = 1/4pi
- Thermodynamical Property of Entanglement Entropy for Excited States
- Relative entropy and the Bekenstein bound
- Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
- On Holographic Entanglement Entropy and Higher Curvature Gravity
- Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method
- New Massive Gravity and AdS_4 counterterms
- Holographic Entanglement Entropy for 4D Conformal Gravity
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