Entanglement entropy in Galilean conformal field theories and flat holography

TL;DR

This paper analytically computes entanglement entropy in 2D Galilean conformal field theories, providing insights into flat holography and confirming results through multiple independent methods.

Contribution

It offers the first exact analytical calculation of entanglement entropy in Galilean conformal field theories and connects these results to flat holography via multiple approaches.

Findings

Exact entanglement entropy formulas derived for Galilean conformal theories.

Confirmation of field theory results through geodesic analysis.

Holographic calculations using Wilson lines in Chern-Simons gravity match field theory results.

Abstract

We present the analytical calculation of entanglement entropy for a class of two dimensional field theories governed by the symmetries of the Galilean conformal algebra, thus providing a rare example of such an exact computation. These field theories are the putative holographic duals to theories of gravity in three-dimensional asymptotically flat spacetimes. We provide a check of our field theory answers by an analysis of geodesics. We also exploit the Chern-Simons formulation of three-dimensional gravity and adapt recent proposals of calculating entanglement entropy by Wilson lines in this context to find an independent confirmation of our results from holography.