More on the upper bound of holographic n-partite information

Abstract We show that there exists a huge amount of multipartite entanglement in holography by studying the upper bound for holographic n-partite information I n that n − 1 fixed boundary subregions participate. We develop methods to find the n-th region E that makes I n reach the upper bound. Throu...

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Main Authors: Xin-Xiang Ju, Wen-Bin Pan, Ya-Wen Sun, Yuan-Tai Wang, Yang Zhao
Format: Article
Language:English
Published: SpringerOpen 2025-03-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP03(2025)184
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author Xin-Xiang Ju
Wen-Bin Pan
Ya-Wen Sun
Yuan-Tai Wang
Yang Zhao
author_facet Xin-Xiang Ju
Wen-Bin Pan
Ya-Wen Sun
Yuan-Tai Wang
Yang Zhao
author_sort Xin-Xiang Ju
collection DOAJ
description Abstract We show that there exists a huge amount of multipartite entanglement in holography by studying the upper bound for holographic n-partite information I n that n − 1 fixed boundary subregions participate. We develop methods to find the n-th region E that makes I n reach the upper bound. Through the explicit evaluation, it is shown that I n , an IR term without UV divergence, could diverge when the number of intervals or strips in region E approaches infinity. At this upper bound configuration, we could argue that I n fully comes from the n-partite global quantum entanglement. Our results indicate: fewer-partite entanglement in holography emerges from more-partite entanglement; n − 1 distant local subregions are highly n-partite entangling. Moreover, the relationship between the convexity of a boundary subregion and the multipartite entanglement it participates, and the difference between multipartite entanglement structure in different dimensions are revealed as well.
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issn 1029-8479
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series Journal of High Energy Physics
spelling doaj-art-60a0ddca10b24ccb8a417d415aac69b72025-08-20T03:06:48ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025315810.1007/JHEP03(2025)184More on the upper bound of holographic n-partite informationXin-Xiang Ju0Wen-Bin Pan1Ya-Wen Sun2Yuan-Tai Wang3Yang Zhao4School of Physical Sciences, University of Chinese Academy of SciencesInstitute of High Energy Physics, Chinese Academy of SciencesSchool of Physical Sciences, University of Chinese Academy of SciencesInterdisciplinary Center for Theoretical Study, University of Science and Technology of ChinaSchool of Physical Sciences, University of Chinese Academy of SciencesAbstract We show that there exists a huge amount of multipartite entanglement in holography by studying the upper bound for holographic n-partite information I n that n − 1 fixed boundary subregions participate. We develop methods to find the n-th region E that makes I n reach the upper bound. Through the explicit evaluation, it is shown that I n , an IR term without UV divergence, could diverge when the number of intervals or strips in region E approaches infinity. At this upper bound configuration, we could argue that I n fully comes from the n-partite global quantum entanglement. Our results indicate: fewer-partite entanglement in holography emerges from more-partite entanglement; n − 1 distant local subregions are highly n-partite entangling. Moreover, the relationship between the convexity of a boundary subregion and the multipartite entanglement it participates, and the difference between multipartite entanglement structure in different dimensions are revealed as well.https://doi.org/10.1007/JHEP03(2025)184AdS-CFT CorrespondenceGauge-Gravity Correspondence
spellingShingle Xin-Xiang Ju
Wen-Bin Pan
Ya-Wen Sun
Yuan-Tai Wang
Yang Zhao
More on the upper bound of holographic n-partite information
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-Gravity Correspondence
title More on the upper bound of holographic n-partite information
title_full More on the upper bound of holographic n-partite information
title_fullStr More on the upper bound of holographic n-partite information
title_full_unstemmed More on the upper bound of holographic n-partite information
title_short More on the upper bound of holographic n-partite information
title_sort more on the upper bound of holographic n partite information
topic AdS-CFT Correspondence
Gauge-Gravity Correspondence
url https://doi.org/10.1007/JHEP03(2025)184
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