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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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Elsevier
2022-12-01
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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. |
first_indexed | 2024-04-11T07:50:29Z |
format | Article |
id | doaj.art-7981707c9a0d4bc1bbd752868c617a2c |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-04-11T07:50:29Z |
publishDate | 2022-12-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
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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