Corner contributions to holographic entanglement entropy in non-conformal backgrounds

TL;DR

This paper investigates how corner geometries affect holographic entanglement entropy in non-conformal backgrounds, revealing different behaviors for D2- and D4-branes and identifying universal contributions.

Contribution

It provides the first analysis of corner contributions in non-conformal holographic backgrounds, highlighting the emergence of power-law and logarithmic behaviors.

Findings

D2-branes show power-law corner contributions, unlike 2+1 CFTs.

D4-branes exhibit logarithmic corner contributions.

Universal logarithmic term identified for cone in D4-brane background.

Abstract

We study corner contributions to holographic entanglement entropy in non-conformal backgrounds: a kink for D2-branes as well as a cone and two different types of crease for D4-branes. Unlike 2+1-dimensional CFTs, the corner contribution to the holographic entanglement entropy of D2-branes exhibits a power law behaviour rather than a logarithmic term. However, the logarithmic term emerges in the holographic entanglement entropy of D4-branes. We identify the logarithmic term for a cone in D4-brane background as the universal contribution under appropriate limits and compare it with other physical quantities.