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Holographic Entanglement Entropy on Generic Time Slices
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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.
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Temporal Entanglement from Holographic Entanglement Entropy
Holographic timelike entanglement entropy is defined by analytically continuing all candidate extremal surfaces through the light cone and selecting the one with smallest real part of the area.
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