论文标题

BCFT在黑洞背景中:分析全息模型

BCFT in a Black Hole Background: An Analytical Holographic Model

论文作者

Geng, Hao, Randall, Lisa, Swanson, Erik

论文摘要

我们研究了二维黑洞背景中全息边界综合场理论(BCFT)的纠缠相结构。批量双重是带有karch-randall brane的广告$ _3 $黑色字符串几何形状。我们计算各种双面两面两部分的子区域纠缠熵,以阐明该设置中存在页面曲线的相空间。我们在重力侧和场理论方面进行了完全分析的计算,并证明结果与之完全匹配。我们讨论了纠缠阶段结构,描述了在这些分析结果的背景下,该几何形状中的页面曲线在何处存在。这是研究曲面背景上量子场理论的纠缠熵的有用模型。

We study the entanglement phase structure of a holographic boundary conformal field theory (BCFT) in a two-dimensional black hole background. The bulk dual is the AdS$_3$ black string geometry with a Karch-Randall brane. We compute the subregion entanglement entropy of various two-sided bipartitions to elucidate the phase space where a Page curve exists in this setup. We do fully analytical computations on both the gravity side and the field theory side and demonstrate that the results precisely match. We discuss the entanglement phase structure describing where a Page curve exists in this geometry in the context of these analytical results. This is a useful model to study entanglement entropy for quantum field theory on a curved background.

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