Superbalance of holographic entropy inequalities

Journal Article · Fri Jul 31 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep07(2020)245· OSTI ID:1659665

He, Temple ^[1]; Hubeny, Veronika E. ^[2]; Rangamani, Mukund ^[2]

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1. Univ. of California, Davis, CA (United States); UC Davis
2. Univ. of California, Davis, CA (United States)

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.

• Research Organization: NSF PHY1748958; Univ. of California, Davis, CA (United States)
• Sponsoring Organization: National Science Foundation (NSF); USDOE
• Grant/Contract Number: SC0009999
• OSTI ID: 1659665
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2020; ISSN 1029-8479
• Publisher: Springer Berlin
• Country of Publication: United States
• Language: English

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