Abstract
The work derives a Page curve in a time-dependent AdS3/BCFT2 setup and compares defect extremal surface and island prescriptions. It then extends the comparison to higher dimensions, where the bulk defect-extremal-surface entropy is generally smaller than the low-energy island result.
Context
The Page curve tests whether an entropy prescription captures information recovery during evaporation. Defect constructions allow the bulk and lower-dimensional descriptions to be compared directly.
Main result
The two prescriptions agree in the time-dependent AdS₃/BCFT₂ setup. In higher dimensions the bulk defect-extremal-surface result is generally lower than the island result in the boundary low-energy effective theory.
Why it matters
The comparison separates an exact low-dimensional match from a higher-dimensional UV-sensitive distinction instead of assuming universal equivalence.
Citation / BibTeX
@article{Chu:2021PageCurveDES,
author = {Chu, Jinwei and Deng, Feiyu and Zhou, Yang},
title = {Page curve from defect extremal surface and island in higher dimensions},
journal = {JHEP},
volume = {10},
pages = {149},
year = {2021},
doi = {10.1007/JHEP10(2021)149},
eprint = {2105.09106},
archivePrefix = {arXiv}
}