Holographic Entanglement negativity in flat space generalized minimal massive gravity

TL;DR

This paper explores holographic entanglement negativity in flat space using generalized minimal massive gravity and Galilean conformal field theory, employing replica techniques to compute entanglement measures.

Contribution

It applies the holographic negativity proposal to flat space holography within GMMG and GCFT_2, providing new insights into entanglement in non-AdS holographic duals.

Findings

Derived entanglement entropy and negativity for bipartite states

Utilized replica technique with two- and four-point correlators

Extended holographic entanglement measures to flat space scenarios

Abstract

In this paper we study the application of holographic entanglement negativity proposal for bipartite states in the 2d Galilean conformal field theory ($GCFT_2$) dual to bulk asymptotically flat spacetimes in the context of generalized minimal massive gravity (GMMG) model. $GCFT_2$ is considered on the boundary side of the duality and the bulk gravity is described by GMMG that is asymptotically symmetric under the Galilean conformal transformations. In this paper, the replica technique, based on the two-point and the four-point twist correlators, is utilized and the entanglement entropy and the entanglement negativity are obtained in the bipartite configurations of the system in the boundary.