arXiv:2311.17023 · Journal of High Energy Physics
Reflected entropy in a BCFT on a black hole background
Debarshi Basu, Himanshu Chourasiya, Vinayak Raj, Gautam Sengupta
Abstract
A bstract We obtain the reflected entropy for bipartite mixed state configurations involving two disjoint and adjacent subsystems in a two dimensional boundary conformal field theory (BCFT 2 ) in a black hole background. The bulk dual is described by an AdS 3 black string geometry truncated by a Karch-Randall brane. The entanglement wedge cross section computed for this geometry matches with the reflected entropy obtained for the BCFT 2 verifying the holographic duality. In this context, we also obtain the analogues of the Page curves for the reflected entropy and investigate the behaviour of the Markov gap.