https://doi.org/10.1140/epjp/s13360-025-06414-w
Regular Article
Covariant odd entanglement entropy in AdS
/CFT
1
Department of Physics, Indian Institute of Technology, 208016, Kanpur, India
2
Beijing Institute of Mathematical Sciences and Applications, 101408, Beijing, China
Received:
9
June
2024
Accepted:
9
May
2025
Published online:
13
June
2025
We advance a covariant construction for the holographic odd entanglement entropy (OEE) of time dependent bipartite states in CFTs dual to bulk AdS geometries. In this context we obtain the OEE for bipartite states in zero, finite temperature and finite size CFTs dual to bulk pure AdS 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 CFTs 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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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
