经典纯AdS₃引力中的一种可观测量：沿测地线的扭率
An Observable in Classical Pure AdS3 Gravity: the Twist along a Geodesic
AI总结：
针对经典纯AdS₃引力中沿测地线的扭率这一少被研究的可观测量，分析其性质，得出其生成沿测地线相对平移的系统演化、与测地线长度对易的结论，支持其为纠缠楔代数中心候选元素的猜想。
摘要：
本文研究了经典纯AdS₃引力中一种较少被探讨的可观测量：沿测地线的扭率。研究动机在于，该扭率仅在测地线上有支撑，因此可能是该测地线对应的任一纠缠楔代数中心的候选元素。我们研究了扭率的性质并得到以下结果：第一，得到了由扭率生成的系统演化，其表现为沿测地线的相对平移；第二，证明了扭率与同一条测地线的长度对易，这支持了扭率是代数中心候选元素的猜想。
英文摘要：
In this paper, we consider a little-studied observable in classical pure AdS3 gravity: the twist along a geodesic. The motivation is that the twist only supports on the geodesic so may be a candidate element in the center of the algebra in either entanglement wedge associated to the geodesic. We study the properties of the twist and get the following results. First, we get the system's evolution generated by the twist, which exhibits a relative shift along the geodesic. Second, we show that the twist commutes with the length of the same geodesic, which supports the proposal that the twist is a candidate element in the center.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
