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arXiv · 1710.06138

Covariant Holographic Entanglement Negativity for Adjacent Subsystems in $\mathrm{AdS_{3}/CFT_2}$

Parul Jain·Vinay Malvimat·Sayid Mondal·Gautam Sengupta
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Abstract

We propose a covariant holographic entanglement negativity constructionfor time-dependent mixed states of adjacent intervals in $(1+1)$-dimensional conformal field theories dual to non-static bulk $\mathrm{AdS_3}$ configurations. Our construction applied to $(1+1)$-dimensional conformal field theories with a conserved charge dual to non-extremal and extremal rotating BTZ black holes exactly reproduces the corresponding replica technique results, in the large central charge limit. We also utilize our conjecture to obtain the time-dependent holographic entanglement negativity for the mixed state in question for the $(1+1)$- dimensional CFT dual to a bulk Vaidya-$\mathrm{AdS_3}$ configuration.

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Parul Jain, Vinay Malvimat, Sayid Mondal, Gautam Sengupta. 2017-10-17. Covariant Holographic Entanglement Negativity for Adjacent Subsystems in $\mathrm{AdS_{3}/CFT_2}$. https://doi.org/10.1016/j.nuclphysb.2019.114683

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