Entanglement wedge in flat holography and entanglement negativity

We establish a construction for the entanglement wedge in asymptotically flat bulk geometries for subsystems in dual (1 + 1)-dimensional Galilean conformal field theories in the context of flat space holography. In this connection we propose a definition for the bulk entanglement wedge cross section for bipartite states of such dual non relativistic conformal field theories. Utilizing our construction for the entanglement wedge cross section we compute the entanglement negativity for such bipartite states through the generalization of an earlier proposal, in the context of the usual AdS/C F T scenario, to flat space holography. The entanglement negativity obtained from our construction exactly reproduces earlier holographic results and match with the corresponding field theory replica technique results in the large central charge limit.

Automated summary

In this paper, we establish a construction for the entanglement wedge in asymptotically flat bulk geometries for subsystems in dual (1 + 1)-dimensional Galilean conformal field theories in the context of flat space holography. We propose a definition for the bulk entanglement wedge cross section for bipartite states of such dual non-relativistic conformal field theories. By utilizing our construction, we compute the entanglement negativity for bipartite states and match it with earlier holographic results.