Defect extremal surface as the holographic counterpart of Island formula
- URL: http://arxiv.org/abs/2012.07612v1
- Date: Mon, 14 Dec 2020 15:04:15 GMT
- Title: Defect extremal surface as the holographic counterpart of Island formula
- Authors: Feiyu Deng, Jinwei Chu, Yang Zhou
- Abstract summary: The defect extremal surface is defined by minimizing the Ryu-Takayanagi surface corrected by the defect theory.
In a simple set up of AdS/BCFT, we find that the defect extremal surface formula gives precisely the same results as the boundary quantum extremal surface.
- Score: 3.8633793332238313
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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