缺陷极值面与界面共形场论
Defects extremal surfaces and interface CFTs
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中文总结 AI 辅助
研究将缺陷极值面处方推广到全息界面共形场论，考虑由两个CFT₂通过界面耦合的全息ICFT₂，通过部分维数约化得到有效低维描述，证明广义DES处方在大膜张力极限下能精确再现结果，并计算了相关纠缠熵及佩奇曲线。
中文摘要 AI 辅助
我们提出了一种将缺陷极值面（DES）处方推广到全息界面共形场论（ICFTs）的方法，将其适用性扩展到AdS₃/BCFT₂框架之外。我们考虑一个全息ICFT₂，它由两个通过界面耦合的CFT₂组成，对偶于由一个余维为一的世界末日（EOW）膜连接的两个渐近AdS₃几何。在通过对膜-边界组合进行部分维数约化得到的相应有效低维描述中，膜上的理论与引力耦合，从而能够通过岛公式计算精细纠缠熵。我们证明，在大膜张力极限下，对于与时间无关的有限子系统，广义DES处方精确再现了有效低维结果，这对应于EOW膜上的弱引力耦合。我们进一步计算了与二维永恒黑洞耦合的辐射子系统中半无限二分纯态的纠缠熵，并得到了相应的佩奇曲线。
英文摘要
We propose a generalization of the defect extremal surface (DES) prescription to holographic interface conformal field theories (ICFTs), extending its applicability beyond the AdS$_3$/BCFT$_2$ framework. We consider a holographic ICFT$_2$ comprising two CFT$_2$s coupled across an interface, dual to two asymptotically AdS$_3$ geometries joined by a codimension-one end-of-the-world (EOW) brane. In the corresponding effective lower-dimensional description obtained via partial dimensional reduction on the brane-boundary combination, the theory on the brane is coupled to gravity, thereby enabling the computation of fine-grained entanglement entropy via the island formula. We demonstrate that the generalized DES prescription exactly reproduces the effective lower-dimensional results for finite subsystems in time-independent scenarios in the large brane tension limit, corresponding to weak gravitational coupling on the EOW brane. We further compute the entanglement entropy of semi-infinite bipartite pure states in radiation subsystems coupled to $2d$ eternal black holes, and obtain the corresponding Page curves.
