标题： 黑洞背景下BCFT的反射熵 显示英文标题

标题： Reflected entropy in BCFTs on a black hole background

摘要： 我们在黑洞背景下获得了涉及二维边界共形场论（BCFT$_2$）中两个不相交且相邻子系统的双部分混合态构型的反射熵。 该体理论的对偶由Karch-Randall膜截断的AdS$_3$黑色弦几何描述。 为此几何计算得到的纠缠楔形交叉截面与为BCFT$_2$获得的反射熵相匹配，验证了全息对偶性。 在此背景下，我们还获得了反射熵的Page曲线类比，并研究了Markov间隙的行为。 显示英文摘要

摘要： We obtain the reflected entropy for bipartite mixed state configurations involving two disjoint and adjacent subsystems in two dimensional boundary conformal field theories (BCFT$_2$s) in a black hole background. The bulk dual is described by an AdS$_3$ black string geometry truncated by a Karch-Randall brane. The entanglement wedge cross section computed for this geometry matches with the reflected entropy obtained for the BCFT$_2$ verifying the holographic duality. In this context, we also obtain the analogues of the Page curves for the reflected entropy and investigate the behaviour of the Markov gap.