Reflected entropy in Galilean conformal field theories and flat holography

TL;DR

This paper calculates the reflected entropy in (1+1)-dimensional Galilean conformal field theories using replica techniques and confirms its duality with the entanglement wedge cross section in flat holography.

Contribution

It provides the first explicit computation of reflected entropy in GCFTs and establishes its consistency with flat holographic duality.

Findings

Reflected entropy in GCFTs matches entanglement wedge cross section in flat holography.

The replica technique effectively computes reflected entropy in non-relativistic CFTs.

Results support the duality between reflected entropy and bulk EWCS in flat holographic models.

Abstract

We obtain the reflected entropy for bipartite states in a class of $(1+1)$-dimensional Galilean conformal field theories ($GCFT_{1+1}$) through a replica technique. Furthermore we compare our results with the entanglement wedge cross section (EWCS) obtained for the dual (2+1) dimensional asymptotically flat geometries in the context of flat holography. We find that our results are consistent with the duality between the reflected entropy and the bulk EWCS for flat holographic scenarios.