Covariant holographic negativity from the entanglement wedge in AdS3/CFT2

We propose a covariant holographic construction based on the extremal entanglement wedge cross section, for the entanglement negativity of bipartite states in CFT(1+1)s dual to non static bulk AdS(3) geometries. Utilizing our proposal we obtain the holographic entanglement negativity for bipartite mixed states in CFT(1+1)s dual to bulk extremal and non extremal rotating BTZ black holes and the time dependent Vaidya-AdS(3) geometries. Our results correctly reproduce the replica technique results modulo certain constants for the corresponding dual CFT1+1 s in the large central charge limit for the bulk black hole geometries. Furthermore for all the cases our results also match upto such constants with the corresponding results from an earlier alternate covariant holographic construction in the literature. This demonstrates the equivalence modulo constants of the two constructions for the AdS(3)/CFT2 scenario. (C) 2022 The Authors. Published by Elsevier B.V.