Holographic entropy cone with time dependence in two dimensions

Holographic entropy cone with time dependence in two dimensions

Abstract In holographic duality, if a boundary state has a geometric description that realizes the Ryu-Takayanagi proposal then its entanglement entropies must obey certain inequalities that together define the so-called holographic entropy cone. A large family of such inequalities have been proven...

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Main Authors: Bart-lomiej Czech, Xi Dong
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Journal of High Energy Physics
Subjects:
AdS-CFT Correspondence
Gauge-gravity correspondence
Online Access:http://link.springer.com/article/10.1007/JHEP10(2019)177
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spelling doaj-50a178eede0144459c3e288dd1f9e12e2020-11-25T01:40:33ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191013410.1007/JHEP10(2019)177Holographic entropy cone with time dependence in two dimensionsBart-lomiej Czech0Xi Dong1Institute for Advanced Study, Tsinghua UniversityDepartment of Physics, University of CaliforniaAbstract In holographic duality, if a boundary state has a geometric description that realizes the Ryu-Takayanagi proposal then its entanglement entropies must obey certain inequalities that together define the so-called holographic entropy cone. A large family of such inequalities have been proven under the assumption that the bulk geometry is static, using a method involving contraction maps. By using kinematic space techniques, we show that in two boundary (three bulk) dimensions, all entropy inequalities that can be proven in the static case by contraction maps must also hold in holographic states with time dependence.http://link.springer.com/article/10.1007/JHEP10(2019)177AdS-CFT CorrespondenceGauge-gravity correspondence
collection DOAJ
language English
format Article
sources DOAJ
author Bart-lomiej Czech
Xi Dong
spellingShingle Bart-lomiej Czech
Xi Dong
Holographic entropy cone with time dependence in two dimensions
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-gravity correspondence
author_facet Bart-lomiej Czech
Xi Dong
author_sort Bart-lomiej Czech
title Holographic entropy cone with time dependence in two dimensions
title_short Holographic entropy cone with time dependence in two dimensions
title_full Holographic entropy cone with time dependence in two dimensions
title_fullStr Holographic entropy cone with time dependence in two dimensions
title_full_unstemmed Holographic entropy cone with time dependence in two dimensions
title_sort holographic entropy cone with time dependence in two dimensions
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-10-01
description Abstract In holographic duality, if a boundary state has a geometric description that realizes the Ryu-Takayanagi proposal then its entanglement entropies must obey certain inequalities that together define the so-called holographic entropy cone. A large family of such inequalities have been proven under the assumption that the bulk geometry is static, using a method involving contraction maps. By using kinematic space techniques, we show that in two boundary (three bulk) dimensions, all entropy inequalities that can be proven in the static case by contraction maps must also hold in holographic states with time dependence.
topic AdS-CFT Correspondence
Gauge-gravity correspondence
url http://link.springer.com/article/10.1007/JHEP10(2019)177
work_keys_str_mv AT bartlomiejczech holographicentropyconewithtimedependenceintwodimensions
AT xidong holographicentropyconewithtimedependenceintwodimensions
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