Holographic entanglement entropy in Chern-Simons gravity with torsion

TL;DR

This paper extends the holographic entanglement entropy framework to include torsion effects in five-dimensional Chern--Simons gravity, revealing a new universal divergent term linked to torsion.

Contribution

It introduces a novel prescription for incorporating torsion into holographic entanglement entropy calculations in higher-curvature gravity theories.

Findings

Torsion contributes an additional universal divergent term to entanglement entropy.

The new term is proportional to the logarithm of the UV cutoff.

Torsion effects are isolated as the sole source of this divergence.

Abstract

Holographic entanglement entropy is a key concept linking quantum information theory and gravity. Since the original conjecture of Ryu and Takayanagi, holographic entanglement entropy has been generalized beyond Einstein--Hilbert gravity to include higher-curvature corrections. In most existing generalizations, however, it is implicitly assumed that the bulk spacetime geometry is Riemannian, i.e. torsion-free. Here we propose a prescription for incorporating torsion into holographic entanglement entropy in the boundary theory dual to five-dimensional Chern--Simons gravity. We argue that the entanglement entropy acquires an additional universal divergent term proportional to the logarithm of the UV cutoff, and that this term is generated solely by torsion.