Holographic entanglement plateaux

Hubeny, Veronika E; Maxfield, Henry; Rangamani, Mukund; Tonni, Erik

doi:10.1007/jhep08(2013)092

Holographic entanglement plateaux

Hubeny, Veronika E; Maxfield, Henry; Rangamani, Mukund; Tonni, Erik

Authors

Veronika E Hubeny

Henry Maxfield

Mukund Rangamani

Erik Tonni

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.

Citation

Hubeny, V. E., Maxfield, H., Rangamani, M., & Tonni, E. (2013). Holographic entanglement plateaux. Journal of High Energy Physics, 2013(8), https://doi.org/10.1007/jhep08%282013%29092

Journal Article Type	Article
Publication Date	Aug 19, 2013
Deposit Date	Oct 25, 2013
Publicly Available Date	Dec 11, 2013
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2013
Issue	8
DOI	https://doi.org/10.1007/jhep08%282013%29092