Holographic Entanglement Entropy Decomposition in an Anisotropic Gauge Theory

TL;DR

This paper investigates how holographic entanglement entropy behaves in an anisotropic gauge theory, revealing a decomposition into isotropic entropy and anisotropy-dependent terms, with directional differences at high anisotropy.

Contribution

It introduces a decomposition of holographic entanglement entropy in anisotropic theories and analyzes directional dependence at high anisotropy levels.

Findings

Entropy decomposes into isotropic and anisotropy-dependent parts.

Perpendicular direction entropy exceeds parallel at high anisotropy.

Approximate decomposition holds for the considered background.

Abstract

We study holographic entanglement entropy in spatially anisotropic field theory. We observe that for the background we consider in this paper, to a good approximation, the holographic entanglement entropy can be decomposed into two terms. One of them is the entanglement entropy of the isotropic field theory at fixed temperature and the other term is only a function of anisotropy parameter. Moreover, for large enough values of anisotropy parameter, our numerical results indicate that the entanglement entropy in the perpendicular direction to anisotropic direction is greater than the parallel case.