Reflected entropy for communicating black holes. Part I. Karch-Randall braneworlds

• Published in: The journal of high energy physics Vol. 2023; no. 2; pp. 203 - 67
• Main Authors: Afrasiar, Mir, Basak, Jaydeep Kumar, Chandra, Ashish, Sengupta, Gautam
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 20.02.2023; Springer Nature B.V; SpringerOpen
• Subjects: AdS-CFT Correspondence; Black holes; Classical and Quantum Gravitation; Communication; Configurations; Cross-sections; Elementary Particles; Entanglement; Field theory; Gauge-Gravity Correspondence; Geometry; Gravity; High energy physics; Holography; Information theory; Islands; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Radiation; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Subsystems; AdS-CFT Correspondence; Gauge-Gravity Correspondence
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP02(2023)203

A bstract We obtain the reflected entropy for bipartite mixed state configurations of two adjacent and disjoint intervals at a finite temperature in BCFT 2 s with two distinct boundaries through a replica technique in the large central charge limit. Subsequently these field theory results are reproduced from bulk computations involving the entanglement wedge cross section in the dual BTZ black hole geometry truncated by two Karch-Randall branes. Our result confirms the holographic duality between the reflected entropy and the bulk entanglement wedge cross section in the context of the AdS 3 / BCFT 2 scenario. We further investigate the critical issue of the holographic Markov gap between the reflected entropy and the mutual information for these configurations from the bulk braneworld geometry and study its variation with subsystem sizes and time.