On universal terms of holographic entanglement entropy in theories with hyperscaling violation

TL;DR

This paper investigates the universal terms of holographic entanglement entropy in hyperscaling violating backgrounds, including higher curvature corrections, and analyzes mutual and tripartite information properties.

Contribution

It derives universal entanglement entropy terms in hyperscaling violating theories with higher curvature terms using semi-analytic holographic methods.

Findings

Universal entanglement entropy terms are obtained across various dimensions.

Mutual information remains positive, indicating monogamy in these theories.

Tripartite information is negative, supporting the monogamy property.

Abstract

We examine the holographic entanglement entropy in hyperscaling violating backgrounds. Precisely in such theories by semi-analytic computation, we use holographic methods to derive the universal terms of entanglement entropy in various dimensions. We also find such terms when the bulk action includes higher-order curvature terms. We make further comments on the mutual information in hyperscaling violating backgrounds with higher curvature interactions. We explore the sign of tripartite information which results in a monogamy property on mutual information. It is shown that for various hyperscaling parameters, the mutual and tripartite information are always positive and negative, respectively. This indicates that mutual information is monogamous in theories with hyperscaling violation.