Entanglement Entropy for Singular Surfaces in Hyperscaling violating Theories

TL;DR

This paper investigates the holographic entanglement entropy for singular surfaces in hyperscaling violating theories, revealing new divergence structures and relations to central charges, with implications for higher-curvature corrections.

Contribution

It introduces the analysis of entanglement entropy for singular surfaces in hyperscaling violating backgrounds, identifying new logarithmic divergences and their relation to central charges.

Findings

Discovery of new logarithmic UV divergence terms.

Relation between central charges and energy-momentum tensor two-point functions.

Impact of higher-curvature terms on these relations.

Abstract

We study the holographic entanglement entropy for singular surfaces in theories described holographically by hyperscaling violating backgrounds. We consider singular surfaces consisting of cones or creases in diverse dimensions. The structure of UV divergences of entanglement entropy exhibits new logarithmic terms whose coefficients, being cut-off independent, could be used to define new central charges in the nearly smooth limit. We also show that there is a relation between these central charges and the one appearing in the two-point function of the energy-momentum tensor. Finally we examine how this relation is affected by considering higher-curvature terms in the gravitational action.