Reflected entropy in a BCFT on a black hole background

• DOI: 10.1007/jhep05(2024)054
• Publication Date: 2024-05-07T07:01:46Z
• Authors: Debarshi Basu; Himanshu Chourasiya; Vinayak Raj; Gautam Sengupta
• Keywords: High Energy Physics - Theory; Black Holes; High Energy Physics - Theory (hep-th); Nuclear and particle physics. Atomic energy. Radioactivity; Boundary Quantum Field Theory; FOS: Physical sciences; QC770-798; AdS-CFT Correspondence

Abstract

We obtain the reflected entropy for bipartite mixed state configurations involving two disjoint and adjacent subsystems in a two dimensional boundary conformal field theory (BCFT2) in a black hole background. The bulk dual is described by an AdS3 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 BCFT2 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.