Covariant holographic negativity from the entanglement wedge in AdS ,[object Object],/CFT ,[object Object]
Jaydeep Kumar Basak (Department of Physics, Indian Institute of Technology, Kanpur, 208 016, India); Himanshu Parihar (Department of Physics, Indian Institute of Technology, Kanpur, 208 016, India); Boudhayan Paul (Department of Physics, Indian Institute of Technology, Kanpur, 208 016, India); Gautam Sengupta (Department of Physics, Indian Institute of Technology, Kanpur, 208 016, India)
We propose a covariant holographic construction based on the extremal entanglement wedge cross section, for the entanglement negativity of bipartite states in s dual to non static bulk geometries. Utilizing our proposal we obtain the holographic entanglement negativity for bipartite mixed states in s dual to bulk extremal and non extremal rotating BTZ black holes and the time dependent Vaidya- geometries. Our results correctly reproduce the replica technique results modulo certain constants for the corresponding dual 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 scenario.
