Analytic Derivation of the minimal entanglement wedge cross section in the GMMG/GCFT flat holography

We focus on a proper candidate for the entanglement wedge in asymptotically flat bulk geometries that are described by the generalized minimal massive gravity (GMMG) in the context of the flat holography. To this end, we describe the boundary by two dimensional Galilean conformal field theory (GCFT) at the bipartite mixed state of the two disjoint intervals. We derive an analytic expression for the minimal entanglement wedge cross section (EWCS) in the GMMG/GCFT framework. Our result provides an independent derivation that precisely matches previous computations of holographic entanglement negativity, thereby offering a powerful consistency check and validating both approaches within the GMMG/GCFT framework.