Multipartite reflected entropy

Multipartite reflected entropy

Abstract We discuss two methods that, through a combination of cyclically gluing copies of a given n-party boundary state in AdS/CFT and a canonical purification, creates a bulk geometry that contains a boundary homologous minimal surface with area equal to 2 or 4 times the n-party entanglement wedg...

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Bibliographic Details
Main Authors: Ning Bao, Newton Cheng
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Journal of High Energy Physics
Subjects:
AdS-CFT Correspondence
Black Holes
Online Access:http://link.springer.com/article/10.1007/JHEP10(2019)102
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spelling doaj-b9473fdbe3ba483e89b818c8a5ffd9bd2020-11-25T03:53:25ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191011910.1007/JHEP10(2019)102Multipartite reflected entropyNing Bao0Newton Cheng1Center for Theoretical Physics and Department of Physics, University of CaliforniaCenter for Theoretical Physics and Department of Physics, University of CaliforniaAbstract We discuss two methods that, through a combination of cyclically gluing copies of a given n-party boundary state in AdS/CFT and a canonical purification, creates a bulk geometry that contains a boundary homologous minimal surface with area equal to 2 or 4 times the n-party entanglement wedge cross-section, depending on the parity of the party number and choice of method. The areas of the minimal surfaces are each dual to entanglement entropies that we define to be candidates for the n-party reflected entropy. In the context of AdS3/CFT2, we provide a boundary interpretation of our construction as a multiboundary wormhole, and conjecture that this interpretation generalizes to higher dimensions.http://link.springer.com/article/10.1007/JHEP10(2019)102AdS-CFT CorrespondenceBlack Holes
collection DOAJ
language English
format Article
sources DOAJ
author Ning Bao
Newton Cheng
spellingShingle Ning Bao
Newton Cheng
Multipartite reflected entropy
Journal of High Energy Physics
AdS-CFT Correspondence
Black Holes
author_facet Ning Bao
Newton Cheng
author_sort Ning Bao
title Multipartite reflected entropy
title_short Multipartite reflected entropy
title_full Multipartite reflected entropy
title_fullStr Multipartite reflected entropy
title_full_unstemmed Multipartite reflected entropy
title_sort multipartite reflected entropy
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-10-01
description Abstract We discuss two methods that, through a combination of cyclically gluing copies of a given n-party boundary state in AdS/CFT and a canonical purification, creates a bulk geometry that contains a boundary homologous minimal surface with area equal to 2 or 4 times the n-party entanglement wedge cross-section, depending on the parity of the party number and choice of method. The areas of the minimal surfaces are each dual to entanglement entropies that we define to be candidates for the n-party reflected entropy. In the context of AdS3/CFT2, we provide a boundary interpretation of our construction as a multiboundary wormhole, and conjecture that this interpretation generalizes to higher dimensions.
topic AdS-CFT Correspondence
Black Holes
url http://link.springer.com/article/10.1007/JHEP10(2019)102
work_keys_str_mv AT ningbao multipartitereflectedentropy
AT newtoncheng multipartitereflectedentropy
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