Defect extremal surface as the holographic counterpart of Island formula

Abstract

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.

30+1 pages, 10 figures

References in corpus (6)

• Entanglement hamiltonians in two-dimensional conformal field theory
• Page Curve for an Evaporating Black Hole
• Islands in Asymptotically Flat 2D Gravity
• Gravity/Ensemble Duality
• Notes on islands in asymptotically flat 2d dilaton black holes
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane

Cited by in corpus (1)

• Islands in Linear Dilaton Black Holes