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Defect extremal surface as the holographic counterpart of Island formula
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We propose defect extremal surface as the holographic counterpart of boundary quantum extremal surface. The defect extremal surface is defined by minimizing the Ryu-Takayanagi surface corrected by the defect theory. This is particularly interesting when the RT surface crosses or terminates on the defect. In a simple set up of AdS/BCFT, we find that the defect extremal surface formula gives precisely the same results of the boundary quantum extremal surface. We provide a decomposition procedure of an AdS bulk with a defect brane to see clearly how Island formula emerges from a brane world system with gravity glued to a flat space quantum field theory.
Forward citations
Cited by 2 Pith papers
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Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
Reflected entropy in T-bar-T-deformed AdS3/BCFT2 computed via island and defect extremal surface prescriptions agrees at leading order in the cutoff, and its Page curves show a discontinuity at the Page time.
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Defects extremal surfaces and interface CFTs
A generalized defect-extremal-surface prescription for AdS3/ICFT2 is shown to match island-formula entropies in the large-tension limit and to produce Page curves for 2d eternal black holes.
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