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Main Authors: Dey, Ankur, Sengupta, Gautam
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.06551
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author Dey, Ankur
Sengupta, Gautam
author_facet Dey, Ankur
Sengupta, Gautam
contents We investigate the mixed state entanglement structure through the reflected entropy for disjoint radiation subsystems coupled to a 2d eternal brane world black hole in a time dependent defect AdS$_3$/BCFT$_2$ scenario. Utilizing the island prescription and the defect extremal surface (DES) formula, we demonstrate a complex mixed state entanglement structure through the reflected entropy corresponding to distinct entanglement entropy phases. In each case we verify the holographic duality of the reflected entropy with the bulk entanglement wedge cross section (EWCS) and also obtain the Page curves for both the entanglement entropy and the associated reflected entropy phases. Furthermore, we extend our analysis to adjacent radiation subsystems and obtain consistent results using both the island and the DES prescription.
format Preprint
id arxiv_https___arxiv_org_abs_2509_06551
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Holographic Reflected Entropy: Islands and Defect Phases
Dey, Ankur
Sengupta, Gautam
High Energy Physics - Theory
We investigate the mixed state entanglement structure through the reflected entropy for disjoint radiation subsystems coupled to a 2d eternal brane world black hole in a time dependent defect AdS$_3$/BCFT$_2$ scenario. Utilizing the island prescription and the defect extremal surface (DES) formula, we demonstrate a complex mixed state entanglement structure through the reflected entropy corresponding to distinct entanglement entropy phases. In each case we verify the holographic duality of the reflected entropy with the bulk entanglement wedge cross section (EWCS) and also obtain the Page curves for both the entanglement entropy and the associated reflected entropy phases. Furthermore, we extend our analysis to adjacent radiation subsystems and obtain consistent results using both the island and the DES prescription.
title Holographic Reflected Entropy: Islands and Defect Phases
topic High Energy Physics - Theory
url https://arxiv.org/abs/2509.06551