Journal of High Energy Physics / 2021已发表

Defect extremal surface as the holographic counterpart of Island formula

Feiyu Deng · Jinwei Chu · Yang Zhou

提出 defect extremal surface 处方,并展示边界量子极值面如何从 brane-world 构造中出现。

论文概述

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.

研究背景

Island 计算结合引力面积项与量子熵。全息缺陷提供了可同时追踪两类贡献的几何环境。

主要结果

Defect extremal surface 极小化由缺陷量子物质修正的 RT 面;在 AdS/BCFT 例子中,它通过体分解过程重现边界量子极值面结果。

SDES=ext⁡Γ[Area(Γ)4GN+Sdefect]S_{\mathrm{DES}}=\operatorname*{ext}_{\Gamma}\left[\frac{\mathrm{Area}(\Gamma)}{4G_N}+S_{\mathrm{defect}}\right]
已发表缺陷极值面处方的示意形式:对面积项与缺陷熵之和取极值。

为何重要

它为 island 处方提供具体的全息对应,并给出比较体理论与 brane-world 描述的几何语言。

引用

引用 / 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}
}