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.
Global properties of causal wedges in asymptotically AdS spacetimes
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abstract
We examine general features of causal wedges in asymptotically AdS spacetimes and show that in a wide variety of cases they have non-trivial topology. We also prove some general results regarding minimal area surfaces on the causal wedge boundary and thereby derive constraints on the causal holographic information. We go on to demonstrate that certain properties of the causal wedge impact significantly on features of extremal surfaces which are relevant for computation of holographic entanglement entropy.
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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.