Odd entanglement entropy in Galilean conformal field theories and flat holography

TL;DR

This paper computes the odd entanglement entropy in Galilean conformal field theories and demonstrates its consistency with holographic duality involving flat geometries, revealing new insights into flat holography and entanglement measures.

Contribution

It introduces a replica technique to calculate odd entanglement entropy in $GCFT_{1+1}$ and connects it with the entanglement wedge cross section in flat holography.

Findings

OEE computed for bipartite states in $GCFT_{1+1}$.

Consistency found between OEE differences and bulk EWCS.

Supports duality between boundary entanglement measures and bulk geometry in flat holography.

Abstract

The odd entanglement entropy (OEE) for bipartite states in a class of $(1+1)$-dimensional Galilean conformal field theories ($GCFT_{1+1}$) is obtained through an appropriate replica technique. In this context our results are compared with the entanglement wedge cross section (EWCS) for $(2+1)$-dimensional asymptotically flat geometries dual to the $GCFT_{1+1}$ in the framework of flat holography. We find that our results are consistent with the duality of the difference between the odd entanglement entropy and the entanglement entropy of bipartite states, with the bulk EWCS for flat holographic scenarios.