Holographic entanglement negativity for disjoint intervals in AdS3/CFT2

We advance a holographic construction for the entanglement negativity of bipartite mixed state configurations of two disjoint intervals in (1+1) dimensional conformal field theories (CFT1+1) through the AdS3/CFT2 correspondence. Our construction constitutes the large central charge analysis of the entanglement negativity for mixed states under consideration and involves a specific algebraic sum of bulk space like geodesics anchored on appropriate intervals in the dual CFT1+1. The construction is utilized to compute the holographic entanglement negativity for such mixed states in CFT1+1s dual to bulk pure AdS3 geometries and BTZ black holes respectively. Our analysis exactly reproduces the universal features of corresponding replica technique results in the large central charge limit which serves as a consistency check.