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Comments on holographic entanglements in cutoff AdS

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arxiv 1904.06930 v1 pith:J3NRH57P submitted 2019-04-15 hep-th

classification hep-th
keywords entanglementcutoffdeformationcrossentropyholographicimpliesphase
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We study two-interval holographic entanglement entropy and entanglement wedge cross section in cutoff AdS. In particular, we investigate phase transitions of them. For two-interval entanglement entropy, the transition point monotonically decreases with a deformation parameter, which means that by the TT deformation the degrees of freedom in subsystems are decreasing. This implies that the effect of the TT deformation can be regarded as the rescaling of the energy scale. We also study entanglement wedge cross section in cutoff AdS, and our result implies that for the entanglement of purification in the TT deformed CFTs phase transition could occur even for fixed subsystems.

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  1. Entanglement entropy and $T\bar T$ deformations beyond antipodal points from holography

    hep-th 2019-08 conditional novelty 6.0 of 10

    For a holographic (A)dS spacetime with a hard radial cutoff, the entanglement entropy of any interval on the sphere equals the antipodal-point formula with radius R cos(beta_epsilon).

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