Holographic Entanglement Entropy on Generic Time Slices

Abstract

We study the holographic entanglement entropy and mutual information for Lorentz boosted subsystems. In holographic CFTs at zero and finite temperature, we find that the mutual information gets divergent in a universal way when the end points of two subsystems are light-like separated. In Lifshitz and hyperscaling violating geometries dual to non-relativistic theories, we show that the holographic entanglement entropy is not well-defined for Lorentz boosted subsystems in general. This strongly suggests that in non-relativistic theories, we cannot make a real space factorization of the Hilbert space on a generic time slice except the constant time slice, as opposed to relativistic field theories.

19 pages, 8 figures, latex, v2:comments added, published version

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• Real-time gravitational replicas: Low dimensional examples
• Traversable AdS Wormhole via Non-local Double Trace or Janus Deformation
• Holographic Calculation of BMSFT Mutual and 3-partite Information
• Universal rapidity scaling of entanglement entropy inside hadrons from conformal invariance
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• Holographic entanglement entropy for relativistic hydrodynamic flows