English

Holographic Reflected Entropy: Islands and Defect Phases

High Energy Physics - Theory 2025-12-19 v2

Abstract

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 AdS3_3/BCFT2_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.

Keywords

Cite

@article{arxiv.2509.06551,
  title  = {Holographic Reflected Entropy: Islands and Defect Phases},
  author = {Ankur Dey and Gautam Sengupta},
  journal= {arXiv preprint arXiv:2509.06551},
  year   = {2025}
}

Comments

52 pages, 31 figures, v2: matches published version

R2 v1 2026-07-01T05:26:08.487Z