We substantiate a covariant proposal for the holographic reflected entropy in CFTs dual to non-static AdS geometries from the bulk extremal entanglement wedge cross section in the literature with explicit computations in the AdS3/CFT2 scenario. In this context we obtain the reflected entropy for zero and finite temperature time dependent bipartite mixed states in CFT1+1s with a conserved charge dual to bulk rotating extremal and non-extremal BTZ black holes through a replica technique. Our results match exactly with the corresponding extremal entanglement wedge cross section for these bulk geometries in the literature. This constitutes a significant consistency check for the proposal and its possible extension to the corresponding higher dimensional AdS/CFT scenario.
@article{arxiv.2209.02654,
title = {Covariant holographic reflected entropy in $AdS_3/CFT_2$},
author = {Mir Afrasiar and Himanshu Chourasiya and Vinayak Raj and Gautam Sengupta},
journal= {arXiv preprint arXiv:2209.02654},
year = {2022}
}