Defect extremal surface as the holographic counterpart of Island formula

Overview

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

@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}
}