AdS引力子区域中的PEE线与比特线
PEE threads and bit threads in gravitational subregions of AdS
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中文总结 AI 辅助
该研究在引力子区域运动学空间描述的基础上，构建了AdS体中PEE线与比特线的新颖构型，揭示了其几何特性，阐明了相关自由度在全息纠缠中的作用，建立了不同理论概念间的联系。
中文摘要 AI 辅助
受引力子区域的运动学空间描述的启发，我们允许部分纠缠熵（PEE）线的源不仅来自渐近边界，还来自子区域的边界。基于此设置，我们开发了一个框架，用于构造源自AdS体中曲面的PEE线和比特线的构型。我们分析的情况包括庞加莱AdS₃、带有世界末端（EOW）膜的平面BTZ黑洞膜，以及边界多区间的纠缠楔。我们在这些情况中构造了PEE线和比特线的新颖构型，这为我们理解AdS₃/BCFT₂对应关系以及由曲面/态对应关系驱动的纠缠楔中定义的全息图提供了新的视角。我们发现的一个显著特征是，虽然基本PEE线是测地线，但粗粒化比特线流的积分曲线通常不是测地线。在所有显式构造中，积分源流简化为端点距离差势，这使得无散度、范数界和瓶颈饱和在几何上是透明的。我们的结果阐明了边界、膜、视界和RT曲面自由度如何参与全息纠缠，并提供了PEE、比特线、子区域运动学空间与曲面/态对应关系之间的具体联系。
英文摘要
Motivated by the kinematic-space description of gravitational subregions \cite{Basu:2026hbg}, we allow partial entanglement entropy (PEE) threads to be sourced not only from the asymptotic boundary, but also from boundaries of subregions. Based on this setup, we develop a framework to construct configurations for PEE threads and bit threads sourced from surfaces in the AdS bulk. The situations we have analyzed include the Poincaré AdS$_3$ and the planar BTZ black brane with an end-of-the-world (EOW) brane, and the entanglement wedges of boundary multi-intervals. We construct novel configurations of PEE threads and bit threads in these situations, which shed new light in our understanding of the AdS$_3$/BCFT$_2$ correspondence and the holography defined in the entanglement wedge motivated by surface/state correspondence. A notable feature we found is that, although the elementary PEE threads are geodesics, the integral curves of the coarse-grained bit-thread current are generically not geodesics. Across the explicit constructions, the integrated source currents reduce to endpoint distance-difference potentials, which make divergencelessness, the norm bound and bottleneck saturation geometrically transparent. Our results clarify how boundary, brane, horizon and RT-surface degrees of freedom participate in holographic entanglement and provide a concrete link between PEE, bit threads, subregion kinematic space and the surface/state correspondence.
