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High Energy Physics - Theory

arXiv:2205.07905 (hep-th)
[Submitted on 16 May 2022]

Title:Defect extremal surfaces for entanglement negativity

Authors:Debarshi Basu, Himanshu Parihar, Vinayak Raj, Gautam Sengupta
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Abstract:We propose a doubly holographic version of the semi-classical island formula for the entanglement negativity in the framework of the defect AdS/BCFT correspondence where the AdS bulk contains a defect conformal matter theory. In this context, we propose a defect extremal surface (DES) formula for computing the entanglement negativity modified by the contribution from the defect matter theory on the end-of-the-world brane. The equivalence of the DES proposal and the semi-classical island formula for the entanglement negativity is demonstrated in AdS$_3$/BCFT$_2$ framework. Furthermore, in the time-dependent AdS$_3$/BCFT$_2$ scenarios involving eternal black holes in the lower dimensional effective description, we investigate the time evolution of the entanglement negativity through the DES and the island formulae and obtain the analogues of the Page curves.
Comments: 45 pages, 25 figures
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:2205.07905 [hep-th]
  (or arXiv:2205.07905v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2205.07905
Journal reference: Physical Review D 108, 106005 (2023)
Related DOI: https://doi.org/10.1103/PhysRevD.108.106005

Submission history

From: Vinayak Raj [view email]
[v1] Mon, 16 May 2022 18:00:04 UTC (1,131 KB)
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