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Title: 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 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 AdS 3/CFT 2, we provide a boundary interpretation of our construction as a multiboundary wormhole, and conjecture that this interpretation generalizes to higher dimensions.

Authors:
 [1];  [2]
  1. 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
  2. Univ. of California, Berkeley, CA (United States). Center for Theoretical Physics and Dept. of Physics
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (SC-21)
OSTI Identifier:
1574424
Report Number(s):
BNL-212340-2019-JAAM
Journal ID: ISSN 1029-8479
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; AdS-CFT Correspondence; Black Holes

Citation Formats

Bao, Ning, and Cheng, Newton. Multipartite reflected entropy. United States: N. p., 2019. Web. doi:10.1007/JHEP10(2019)102.
Bao, Ning, & Cheng, Newton. Multipartite reflected entropy. United States. doi:10.1007/JHEP10(2019)102.
Bao, Ning, and Cheng, Newton. Tue . "Multipartite reflected entropy". United States. doi:10.1007/JHEP10(2019)102. https://www.osti.gov/servlets/purl/1574424.
@article{osti_1574424,
title = {Multipartite reflected entropy},
author = {Bao, Ning and Cheng, Newton},
abstractNote = {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.},
doi = {10.1007/JHEP10(2019)102},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2019,
place = {United States},
year = {2019},
month = {10}
}

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