bibkey: hayden2013monogamy
authors: Patrick Hayden, Matthew Headrick, and Alexander Maloney
year: 2013
title: Holographic Mutual Information is Monogamous
doi: 10.1103/PhysRevD.87.046003
url: https://arxiv.org/abs/1107.2940v2
claim: Entropies given by the static Ryu-Takayanagi prescription obey tripartite-information nonpositivity.
strata_touched: []
license: citation-only
triage: anchor

A necessary geometric entropy inequality

Primary source and locator

Physical Review D 87 (2013), 046003. The primary arXiv record identifies v2 as revised 2 February 2013; the initial preprint is from 2011. The title, authors, DOI and static RT monogamy statement were checked.

Use and boundary

This is the existing theory reference [HHM11]. The central-network examples compute positive tripartite information from logical correlations, even though the fixed area contribution has zero tripartite information. Consequently their full entropy cannot have the stated exact pure-area interpretation. This does not contradict the area-plus-algebra entropy identity and is not a counterexample to RT for a state with an established gravitational dual.

No unrestricted quantum-corrected monogamy claim, new proof of the published inequality, or kernel-verified theorem is asserted.