The inner horizon of Rindler AdS3 maps to the inner RT surface, which encodes timelike entanglement entropy and gravitational anomaly corrections to holographic entanglement.
Entanglement negativity, reflected entropy, and anomalous gravitation
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abstract
We investigate mixed state entanglement measures of entanglement negativity and reflected entropy for bipartite states in two dimensional conformal field theories with an anomaly through appropriate replica techniques. Furthermore we propose holographic constructions for these measures from the corresponding bulk dual geometries involving topologically massive gravity in AdS$_3$ and find exact agreement with the field theory results. In this connection we extend an earlier holographic proposal for the entanglement negativity to the bulk action with a gravitational Chern-Simons term and compute its contribution to the entanglement wedge cross section dual to the reflected entropy.
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Timelike and gravitational anomalous entanglement from the inner horizon
The inner horizon of Rindler AdS3 maps to the inner RT surface, which encodes timelike entanglement entropy and gravitational anomaly corrections to holographic entanglement.