Covariant holographic reflected entropy in $Ad{S}_3/CF{T}_2$

Abstract

We substantiate a covariant proposal for the holographic reflected entropy in $CFT$s dual to non-static $AdS$ geometries from the bulk extremal entanglement wedge cross section in the literature with explicit computations in the $Ad{S}_3/CF{T}_2$ scenario. In this context we obtain the reflected entropy for zero and finite temperature time dependent bipartite mixed states in $CF{T}_{1+1}$s with a conserved charge dual to bulk rotating extremal and non-extremal BTZ black holes through a replica technique. Our results match exactly with the corresponding extremal entanglement wedge cross section for these bulk geometries in the literature. This constitutes a significant consistency check for the proposal and its possible extension to the corresponding higher dimensional $AdS/CFT$ scenario.

16 pages, 3 figures, v2 match published version

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• Towards a derivation of holographic entanglement entropy
• Finite temperature entanglement negativity in conformal field theory
• Balanced Partial Entanglement and the Entanglement Wedge Cross Section
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• Balanced Partial Entanglement and Mixed State Correlations
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Cited by in corpus (1)

• One-half reflected entropy is not a lower bound for entanglement of purification