AI 中文总结
该研究建立了渐近AdS₃时空带守恒动量或自旋的粒子与对偶2D CFT态的全息对应，验证了能量密度等物理量的描述一致性，并拓展了其在Rényi熵演化与量子淬灭协议中的应用。
AI 中文摘要
我们研究渐近AdS$_3$时空中携带纵向动量或角动量的点粒子与对偶二维共形场论（2D CFT）中由局域初级算符构造的适当正则化、随时间演化态之间的全息字典。我们发现，对局域算符进行非对称左/右欧几里得涂抹可产生携带动量的态，对应的体激发是具有守恒动量的粒子。我们计算了这些态及其对偶反作用几何中的能量密度与纠缠熵，发现CFT与引力描述之间存在精确一致。我们进一步将该对应关系扩展到具有内禀自旋的粒子，其CFT对偶是具有不等全纯与反全纯标度维的初级算符。我们再次发现，能量密度与纠缠熵的CFT和全息计算之间存在精确匹配。最后，我们探索这些设置在全息之外的应用，推导了二维有理CFT中Rényi熵的演化，并引入了一类新的具有守恒纵向或角动量的局域量子淬灭协议。
英文摘要
We investigate the holographic dictionary relating point particles carrying longitudinal momentum or angular momentum in asymptotically AdS$_3$ spacetimes to suitably regulated, time-evolved states created by local primary operators in the dual two-dimensional conformal field theory (2D CFT). We find that asymmetric left/right Euclidean smearing of local operators produces states carrying momentum, and the corresponding bulk excitation is a particle with conserved momentum. We compute the energy density and entanglement entropy in these states and in their dual back-reacted geometries, finding exact agreement between the CFT and gravity descriptions. We further extend this correspondence to particles with intrinsic spin, whose CFT duals are primary operators with unequal holomorphic and anti-holomorphic scaling dimensions. We again find a precise match between CFT and holographic calculations of energy densities and entanglement entropies. Finally, we explore applications of these setups beyond holography by deriving the evolution of Rényi entropies in 2D rational CFTs and introducing a new class of local quantum quench protocols with conserved longitudinal or angular momentum.
Comments51 pages, 7 figures
