标题： 高维弗洛凯共形场论的动力学相 显示英文标题

标题： Dynamical Phases of Higher Dimensional Floquet CFTs

摘要： 本文研究了时空维度大于二的Floquet共形场理论（CFT）的动力学相。 在我们之前的工作[1]的基础上，该工作引入了四元数表示来研究高维CFT中的Floquet动力学，我们现在探讨了更一般的方形脉冲驱动协议，这些协议超越了一个单一的SU(1,1)子群。 我们证明，对于多步驱动协议，系统表现出由表示单个周期时间演化的四元数矩阵特征值性质所表征的不同动力学相，从而导致不同的快照响应。 我们的分析建立了一个基本的几何解释，其中这些动力学相直接对应于CFT基空间和一个假定对偶存在的更高维AdS空间中Killing视界的存在或缺失。 加热相与非极端视界相关，临界相与极端视界相关，而极端视界在非加热相中消失。 我们开发了微扰方法来计算不同区域中的Floquet哈密顿量，并展示了如何通过调节驱动参数可以产生视界，为理解驱动共形系统中的加热现象提供了几何框架。 显示英文摘要

摘要： This paper investigates the dynamical phases of Floquet Conformal Field Theories (CFTs) in space-time dimensions greater than two. Building upon our previous work [1] which introduced quaternionic representations for studying Floquet dynamics in higher-dimensional CFTs, we now explore more general square pulse drive protocols that go beyond a single SU(1,1) subgroup. We demonstrate that, for multi-step drive protocols, the system exhibits distinct dynamical phases characterized by the nature of the eigenvalues of the quaternionic matrix representing time evolution in a single cycle, leading to different stroboscopic responses. Our analysis establishes a fundamental geometric interpretation where these dynamical phases directly correspond to the presence or absence of Killing horizons in the base space of the CFT and in a higher dimensional AdS space on which a putative dual lives. The heating phase is associated with a non-extremal horizon, the critical phase with an extremal horizon which disappears in the non heating phase. We develop perturbative approaches to compute the Floquet Hamiltonians in different regimes and show, how tuning drive parameters can lead to horizons, providing a geometric framework for understanding heating phenomena in driven conformal systems.