Multipartite reflected entropy

Bao, Ning; Cheng, Newton

doi:10.1007/JHEP10(2019)102

Multipartite reflected entropy

Journal Article · Tue Oct 08 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP10(2019)102· OSTI ID:1574424

Bao, Ning ^[1]; Cheng, Newton ^[2]

Univ. of California, Berkeley, CA (United States). Center for Theoretical Physics and Dept. of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). Computational Science Initiative
Univ. of California, Berkeley, CA (United States). Center for Theoretical Physics and Dept. of Physics

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.

View Accepted Manuscript (DOE)

Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (SC-21)

Grant/Contract Number:: SC0012704

OSTI ID:: 1574424

Report Number(s):: BNL--212340-2019-JAAM

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (2)

Entanglement Entropy after Double Excitation as an Interaction Measure Kusuki, Yuya; Miyaji, Masamichi Physical Review Letters, Vol. 124, Issue 6 https://doi.org/10.1103/physrevlett.124.061601	journal	February 2020
Entanglement Entropy after Double-Excitation as Interaction Measure Kusuki, Yuya; Miyaji, Masamichi arXiv https://doi.org/10.48550/arxiv.1908.03351	text	January 2019

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