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Title: Superbalance of holographic entropy inequalities

Abstract

The domain of allowed von Neumann entropies of a holographic field theory carves out a polyhedral cone — the holographic entropy cone — in entropy space. Such polyhedral cones are characterized by their extreme rays. For an arbitrary number of parties, it is known that the so-called perfect tensors are extreme rays. In this work, we constrain the form of the remaining extreme rays by showing that they correspond to geometries with vanishing mutual information between any two parties, ensuring the absence of Bell pair type entanglement between them. This is tantamount to proving that besides subadditivity, all non-redundant holographic entropy inequalities are superbalanced, i.e. not only do UV divergences cancel in the inequality itself (assuming smooth entangling surfaces), but also in the purification thereof.

Authors:
ORCiD logo [1];  [1];  [1]
  1. Univ. of California, Davis, CA (United States)
Publication Date:
Research Org.:
Univ. of California, Davis, CA (United States); NSF PHY1748958
Sponsoring Org.:
USDOE; National Science Foundation (NSF)
OSTI Identifier:
1659665
Grant/Contract Number:  
SC0009999
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: 2020; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Conformal Field Theory

Citation Formats

He, Temple, Hubeny, Veronika E., and Rangamani, Mukund. Superbalance of holographic entropy inequalities. United States: N. p., 2020. Web. https://doi.org/10.1007/jhep07(2020)245.
He, Temple, Hubeny, Veronika E., & Rangamani, Mukund. Superbalance of holographic entropy inequalities. United States. https://doi.org/10.1007/jhep07(2020)245
He, Temple, Hubeny, Veronika E., and Rangamani, Mukund. Fri . "Superbalance of holographic entropy inequalities". United States. https://doi.org/10.1007/jhep07(2020)245. https://www.osti.gov/servlets/purl/1659665.
@article{osti_1659665,
title = {Superbalance of holographic entropy inequalities},
author = {He, Temple and Hubeny, Veronika E. and Rangamani, Mukund},
abstractNote = {The domain of allowed von Neumann entropies of a holographic field theory carves out a polyhedral cone — the holographic entropy cone — in entropy space. Such polyhedral cones are characterized by their extreme rays. For an arbitrary number of parties, it is known that the so-called perfect tensors are extreme rays. In this work, we constrain the form of the remaining extreme rays by showing that they correspond to geometries with vanishing mutual information between any two parties, ensuring the absence of Bell pair type entanglement between them. This is tantamount to proving that besides subadditivity, all non-redundant holographic entropy inequalities are superbalanced, i.e. not only do UV divergences cancel in the inequality itself (assuming smooth entangling surfaces), but also in the purification thereof.},
doi = {10.1007/jhep07(2020)245},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2020,
place = {United States},
year = {2020},
month = {7}
}

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Works referenced in this record:

Topological Entanglement Entropy
journal, March 2006


Holographic Entropy Relations
journal, September 2018

  • Hubeny, Veronika E.; Rangamani, Mukund; Rota, Massimiliano
  • Fortschritte der Physik, Vol. 66, Issue 11-12
  • DOI: 10.1002/prop.201800067

The Holographic Entropy Arrangement
journal, February 2019

  • Hubeny, Veronika E.; Rangamani, Mukund; Rota, Massimiliano
  • Fortschritte der Physik, Vol. 67, Issue 4
  • DOI: 10.1002/prop.201900011