Holographic entanglement plateaux
Veronika E. Hubeny, Henry Maxfield, Mukund Rangamani, Erik Tonni

TL;DR
This paper explores the behavior of holographic entanglement entropy in finite-volume theories, revealing conditions under which the Araki-Lieb inequality saturates and discussing implications for the structure of extremal surfaces and causal wedges.
Contribution
It demonstrates saturation of the Araki-Lieb inequality for large subregions in holographic theories and introduces an infinite set of extremal surfaces in Schwarzschild-AdS geometry.
Findings
Araki-Lieb inequality saturation for large regions
Infinite extremal surfaces in Schwarzschild-AdS
Implications for holographic entanglement entropy calculations
Abstract
We consider the entanglement entropy for holographic field theories in finite volume. We show that the Araki-Lieb inequality is saturated for large enough subregions, implying that the thermal entropy can be recovered from the knowledge of the region and its complement. We observe that this actually is forced upon us in holographic settings due to non-trivial features of the causal wedges associated with a given boundary region. In the process, we present an infinite set of extremal surfaces in Schwarzschild-AdS geometry anchored on a given entangling surface. We also offer some speculations regarding the homology constraint required for computing holographic entanglement entropy.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
