Thermal Corrections to Entanglement Entropy from Holography

TL;DR

This paper employs holographic methods to compute the first thermal correction to entanglement entropy in a conformal field theory on a sphere, emphasizing the importance of quantum corrections in the large-N limit.

Contribution

It provides a holographic calculation of thermal entanglement entropy corrections that aligns with field theory results, highlighting quantum effects in the entropy computation.

Findings

Successfully reproduces field theory thermal correction results

Highlights the significance of quantum corrections in holographic entanglement entropy

Uses advanced techniques to connect bulk gravity calculations with boundary CFT results

Abstract

We use holographic techniques to calculate the first thermal correction to the entanglement entropy of a cap-like region of a CFT defined on a sphere, successfully reproducing the field theory result. Since this is an order-one correction to the entropy in the large-$N$ expansion, quantum corrections to the holographic entanglement entropy formula are essential. The bulk calculation is made tractable using the same technical machinery recently used to derive the linearized Einstein equations in the bulk from the first law of entanglement entropy in the CFT.