Logarithmic Correction to BMSFT Entanglement Entropy

TL;DR

This paper derives a general formula for the logarithmic correction to entanglement and thermal entropy in two-dimensional BMS-invariant field theories using the Rindler method, connecting it to BTZ black hole entropy.

Contribution

It introduces a new general formula for logarithmic corrections to entanglement and thermal entropies in BMSFTs, linking them to BTZ black hole entropy corrections.

Findings

Derived a formula for logarithmic corrections in BMSFTs.

Connected BMSFT entropy corrections to BTZ black hole entropy.

Provided a method to extract these corrections from the CFT perspective.

Abstract

Using Rindler method we derive the logarithmic correction to the entanglement entropy of a two dimensional BMS-invariant field theory (BMSFT). In particular, we present a general formula for extraction of the logarithmic corrections to both the thermal and the entanglement entropies. We also present a CFT formula related to the logarithmic correction of the BTZ inner horizon entropy which results in our formula after taking appropriate limit.