Islands and dynamics at the interface

• Published in: The journal of high energy physics Vol. 2023; no. 11; pp. 192 - 42
• Main Authors: Afrasiar, Mir, Basu, Debarshi, Chandra, Ashish, Raj, Vinayak, Sengupta, Gautam
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 27.11.2023; Springer Nature B.V; SpringerOpen
• Subjects: AdS-CFT Correspondence; Black Holes; Branes; Classical and Quantum Gravitation; Curves; Dilatons; Elementary Particles; Entanglement; Entropy; Gauge-Gravity Correspondence; Geometry; Gravity; Hawking radiation; High energy physics; Holography; Physics; Physics and Astronomy; Quantum dots; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Radiation; Regular Article - Theoretical Physics; Relativity Theory; Spacetime; String Theory; AdS-CFT Correspondence; Gauge-Gravity Correspondence; Black Holes
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP11(2023)192

A bstract We investigate a family of models described by two holographic CFT 2 s coupled along a shared interface. The bulk dual geometry consists of two AdS 3 spacetimes truncated by a shared Karch-Randall end-of-the-world (EOW) brane. A lower dimensional effective model comprising of JT gravity coupled to two flat CFT 2 baths is subsequently realized by considering small fluctuations on the EOW brane and implementing a partial Randall-Sundrum reduction where the transverse fluctuations of the EOW brane are identified as the dilaton field. We compute the generalized entanglement entropy for bipartite states through the island prescription in the effective lower dimensional picture and obtain precise agreement in the limit of large brane tension with the corresponding doubly holographic computations in the bulk geometry. Furthermore, we obtain the corresponding Page curves for the Hawking radiation in this JT braneworld.