Covariant holographic reflected entropy in $AdS_3/CFT_2$

Mir Afrasiar; Himanshu Chourasiya; Vinayak Raj; Gautam Sengupta

doi:10.1016/j.physletb.2022.137590

paper

Covariant holographic reflected entropy in $A d S_{3} / C F T_{2}$

arXiv:2209.02654 · doi:10.1016/j.physletb.2022.137590

Abstract

We substantiate a covariant proposal for the holographic reflected entropy in $C F T$ s dual to non-static $A d S$ geometries from the bulk extremal entanglement wedge cross section in the literature with explicit computations in the $A d S_{3} / C F T_{2}$ scenario. In this context we obtain the reflected entropy for zero and finite temperature time dependent bipartite mixed states in $C F T_{1 + 1}$ 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 $A d S / C F T$ scenario.

arXiv comment16 pages, 3 figures, v2 match published version

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

Covariant holographic reflected entropy in AdS3​/CFT2​

Abstract

References in corpus (24)

Cited by in corpus (1)

Covariant holographic reflected entropy in $A d S_{3} / C F T_{2}$