AdS/CFT对应中的有限时间多普勒协方差谱学
Finite-Time Doppler Covariance Spectroscopy in the AdS/CFT correspondence
- Chuxiong Normal College（楚雄师范学院）
- Swansea University（斯旺西大学）
- Shandong Institute of Petroleum and Chemical Technology（山东石油化工学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文提出有限时间协方差框架，通过旋转BTZ时空中的速度共振与相位循环，从边界协方差数据中分离控制效应并定量估计黑洞旋转参数。
AI中文摘要：
从全息视角出发，我们构建了一个精确的有限持续时间协方差框架，用以解析AdS/CFT对应中的手性。在旋转BTZ黑洞时空中，两个边界控制之间的相对运动将紧致边界圆柱上的和频匹配转化为由标量场角动量索引的离散速度共振。由于完整的实控制协方差还包含差频部分，一个双设置的正交循环将其抵消，并从完整的半正定协方差矩阵中重构共振对贡献。对于孤立的角模式，在相反共振速度下重构的对响应以相反的角动量和共同的由控制选择的频率采样边界谱。其归一化对比度抵消了反射对称控制因子和与状态无关的算符归一化，从而得到内禀浴手性的有限线宽估计量。对于光滑的浴谱，来自常见中心化偶数窄化窗口的偏差从线宽的二次阶开始，将保护扩展到高斯采样之外。一个显式的实投影泄漏界控制了来自邻近模式的污染。使用精确BTZ谱的长脉冲计算验证了相位循环重构和二次线宽标度。使用精确截断转移幅度的浴加权计算确立了向该基线的收敛。在默认控制下，前两个非零角模式支持从完整角和中提取，并以亚百分比确定性偏差重构BTZ旋转参数。该框架因此将控制诱导的共振运动学与内禀浴手性分离，并将有限时间协方差数据转化为旋转BTZ黑洞的定量估计。
英文摘要：
From a holographic perspective, we formulate an exact finite-duration covariance framework that resolves chirality in the AdS/CFT correspondence. In a rotating BTZ black hole spacetime, relative motion between two boundary controls converts sum-frequency matching on the compact boundary cylinder into discrete velocity resonances indexed by the angular momentum of the scalar field. Because the complete real-control covariance also contains difference-frequency sectors, a two-setting phase cycle with a common switching window cancels them exactly at finite duration and reconstructs the resonant pair contribution from complete positive-semidefinite covariance matrices. For an isolated angular mode, reconstructed pair responses at opposite resonance velocities sample the boundary spectrum at opposite angular momentum and a common control-selected frequency. Their normalized contrast cancels reflection-symmetric control factors and the state-independent operator normalization, yielding a finite-linewidth estimator of the reflected-mode BTZ contrast. Under the stated smoothness and moment conditions, common centered even narrowing windows give a bias beginning at quadratic order in linewidth. A real-projection leakage bound controls contamination from neighboring modes. Long-pulse calculations with the exact BTZ spectrum verify phase-cycle reconstruction and quadratic linewidth scaling. Bath-weighted calculations with exact truncated transfer amplitudes establish convergence to this baseline. Under the default controls, complete-sum contrasts for the first two nonzero angular modes reconstruct the reference-state rotation parameter at fixed mean inverse temperature with subpercent deterministic bias in the untruncated Gaussian limit. The inferred rotation parameter fixes the horizon parameters of the rotating BTZ black hole once the mean inverse temperature and AdS radius are known.
