Entanglement Entropy in Galilean Conformal Field Theories and Flat Holography
Phys. Rev. Lett. 114, 111602 – Published 19 March, 2015
DOI: https://doi.org/10.1103/PhysRevLett.114.111602
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.