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High Energy Physics - Theory

arXiv:2411.12827 (hep-th)
[Submitted on 19 Nov 2024]

Title:Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy

Authors:Debarshi Basu, Himanshu Chourasiya, Ankur Dey, Vinayak Raj
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Abstract:We investigate the reflected entropy for bipartite mixed state configurations in a $T\bar{T}$ deformed boundary conformal field theory in $2$ dimensions (BCFT$_2$). The bulk dual is described by asymptotically AdS$_3$ geometries with the cut off surface pushed deeper into the bulk and truncated by an end of the world brane. We obtain the reflected entropy up to a linear order in the radial cut-off for static and time dependent configurations involving an eternal black hole, from the island and defect extremal surface (DES) prescriptions in the context of the deformed AdS/BCFT. We observe agreement of the leading order correction for all cases between the two prescriptions. We also obtain the analogous of the Page curves for the reflected entropy and investigate the modification due to the $T\bar{T}$ deformation.
Comments: 46 pages, 28 figures
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:2411.12827 [hep-th]
  (or arXiv:2411.12827v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2411.12827

Submission history

From: Himanshu Chourasiya [view email]
[v1] Tue, 19 Nov 2024 19:28:51 UTC (535 KB)
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