Abstract
We propose defect extremal surface as the holographic counterpart of boundary quantum extremal surface. The prescription minimizes a Ryu–Takayanagi surface corrected by the quantum theory localized on the defect and reproduces the boundary quantum extremal surface result in a simple AdS/BCFT setup.
Context
Island calculations combine a gravitational area term with quantum entropy. A holographic defect supplies a geometric setting in which the two contributions can be tracked together.
Main result
The defect extremal surface minimizes an RT surface corrected by defect quantum matter. In the AdS/BCFT example it reproduces the boundary quantum extremal surface result through a bulk decomposition procedure.
Why it matters
It gives the island prescription a concrete holographic counterpart and a geometric language for comparing bulk and brane-world descriptions.
Citation / BibTeX
@article{Deng:2021DESIsland,
author = {Deng, Feiyu and Chu, Jinwei and Zhou, Yang},
title = {Defect extremal surface as the holographic counterpart of Island formula},
journal = {JHEP},
volume = {03},
pages = {008},
year = {2021},
doi = {10.1007/JHEP03(2021)008},
eprint = {2012.07612},
archivePrefix = {arXiv}
}