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Global properties of causal wedges in asymptotically AdS spacetimes
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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.
Forward citations
Cited by 2 Pith papers
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Minimax surfaces and the holographic entropy cone
Stable minimax surfaces are shown to be HRT surfaces, the entanglement wedge is the smallest minimax homology region, and a cooperating time-sheet configuration would prove the equality of RT and HRT entropy cones.
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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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