Covariant holographic reflected entropy in AdS3/CFT2

We substantiate a covariant proposal for the holographic reflected entropy in CFTs dual to non-static AdS geometries from the bulk extremal entanglement wedge cross section in the literature with explicit computations in the AdS3/CFT2 scenario. In this context we obtain the reflected entropy for zer...

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Main Authors: Mir Afrasiar, Himanshu Chourasiya, Vinayak Raj, Gautam Sengupta
Format: Article
Language:English
Published: Elsevier 2022-12-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269322007249
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author Mir Afrasiar
Himanshu Chourasiya
Vinayak Raj
Gautam Sengupta
author_facet Mir Afrasiar
Himanshu Chourasiya
Vinayak Raj
Gautam Sengupta
author_sort Mir Afrasiar
collection DOAJ
description We substantiate a covariant proposal for the holographic reflected entropy in CFTs dual to non-static AdS geometries from the bulk extremal entanglement wedge cross section in the literature with explicit computations in the AdS3/CFT2 scenario. In this context we obtain the reflected entropy for zero and finite temperature time dependent bipartite mixed states in CFT1+1s 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.
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spelling doaj.art-7981707c9a0d4bc1bbd752868c617a2c2022-12-22T04:36:05ZengElsevierPhysics Letters B0370-26932022-12-01835137590Covariant holographic reflected entropy in AdS3/CFT2Mir Afrasiar0Himanshu Chourasiya1Vinayak Raj2Gautam Sengupta3Department of Physics, Indian Institute of Technology, Kanpur, 208016, IndiaDepartment of Physics, Indian Institute of Technology, Kanpur, 208016, IndiaDepartment of Physics, Indian Institute of Technology, Kanpur, 208016, IndiaCorresponding author.; Department of Physics, Indian Institute of Technology, Kanpur, 208016, IndiaWe substantiate a covariant proposal for the holographic reflected entropy in CFTs dual to non-static AdS geometries from the bulk extremal entanglement wedge cross section in the literature with explicit computations in the AdS3/CFT2 scenario. In this context we obtain the reflected entropy for zero and finite temperature time dependent bipartite mixed states in CFT1+1s 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.http://www.sciencedirect.com/science/article/pii/S0370269322007249
spellingShingle Mir Afrasiar
Himanshu Chourasiya
Vinayak Raj
Gautam Sengupta
Covariant holographic reflected entropy in AdS3/CFT2
Physics Letters B
title Covariant holographic reflected entropy in AdS3/CFT2
title_full Covariant holographic reflected entropy in AdS3/CFT2
title_fullStr Covariant holographic reflected entropy in AdS3/CFT2
title_full_unstemmed Covariant holographic reflected entropy in AdS3/CFT2
title_short Covariant holographic reflected entropy in AdS3/CFT2
title_sort covariant holographic reflected entropy in ads3 cft2
url http://www.sciencedirect.com/science/article/pii/S0370269322007249
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AT himanshuchourasiya covariantholographicreflectedentropyinads3cft2
AT vinayakraj covariantholographicreflectedentropyinads3cft2
AT gautamsengupta covariantholographicreflectedentropyinads3cft2