Covariant odd entanglement entropy in AdS3/CFT2
Abstract
We advance a covariant construction for the holographic odd entanglement entropy (OEE) of time dependent bipartite states in CFT2s dual to bulk AdS3 geometries. In this context we obtain the OEE for bipartite states in zero, finite temperature and finite size CFT2s dual to bulk pure AdS3 and BTZ black hole geometries through appropriate replica techniques. The replica technique results for the time dependent OEE are reproduced modulo constants in the large central charge limit through holographic computations involving the bulk entanglement wedge cross section (EWCS). Subsequently we obtain the time dependent OEE for bipartite states in zero and finite temperature CFT2s with a conserved charge dual to bulk extremal and non-extremal rotating BTZ black holes through both field theory and covariant holographic computations which again match up to constants in the large central charge limit.
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