用于缠结楔形物的模块化缝合套件
A Modular Sewing Kit for Entanglement Wedges
摘要：
我们将全息时空的黎曼曲率与对偶CFT态的纠缠性质联系起来：其模哈密顿量的Berry曲率。模块化Berry连接编码附近的CFT子区域的相对基础，而其批量对偶，限制到代码子空间，涉及到相应的纠缠楔的边缘模式帧。在1/N的前导阶和足够光滑的HRRT表面，模块化Berry连接简单地缝合在一起的正交坐标系覆盖的HRRT表面的邻域。这种纠缠的几何观点是一个很有前途的新工具，连接纠缠和引力的动力学。
英文摘要：
We relate the Riemann curvature of a holographic spacetime to an entanglement property of the dual CFT state: the Berry curvature of its modular Hamiltonians. The modular Berry connection encodes the relative bases of nearby CFT subregions while its bulk dual, restricted to the code subspace, relates the edge-mode frames of the corresponding entanglement wedges. At leading order in 1/N and for sufficiently smooth HRRT surfaces, the modular Berry connection simply sews together the orthonormal coordinate systems covering neighborhoods of HRRT surfaces. This geometric perspective on entanglement is a promising new tool for connecting the dynamics of entanglement and gravitation.
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