Holographic Entropy Cone Beyond AdS/CFT

TL;DR

This paper generalizes the holographic entropy cone beyond AdS/CFT, establishing new area inequalities for bulk regions in arbitrary spacetimes under specific independence conditions.

Contribution

It extends known holographic entropy inequalities to static generalized entanglement wedges in arbitrary spacetimes, introducing a mutual independence condition.

Findings

Generalized holographic entropy cone formulated

New area inequalities established for bulk regions

Mutual independence condition identified for validity

Abstract

We extend all known area inequalities obeyed by Ryu-Takayanagi surfaces of AdS boundary regions -- the holographic entropy cone -- to static generalized entanglement wedges of bulk regions in arbitrary spacetimes. The generalized holographic entropy cone is subject to a mutual independence condition on the bulk regions: each bulk input region must be outside the entanglement wedge of the union of all others. The condition captures when gravitating regions involve fundamentally distinct degrees of freedom despite the nonlocality inherent in the holographic principle.