标题： 混沌和荷电Kerr-Sen-AdS$_4$黑洞及其超高速自转版本的快速混淆延迟 显示英文标题

标题： Chaos and fast scrambling delays of dyonic Kerr-Sen-AdS$_4$ black hole and its ultra-spinning version

摘要： 通过在渐近AdS的规范Einstein-Maxwell-Dilaton-Axion（EMDA）理论的黑洞解中使用全息方法，计算了随机化时间和其延迟时间，该黑洞解是沿赤道旋转和带电冲击波扰动的dyonic Kerr-Sen-AdS$_4$黑洞。对于大熵的黑洞，随机化时间的主要项在熵中是对数的，因此支持该黑洞解的快速随机化猜想，这表明所考虑的系统是混沌的。我们还发现瞬时最小李雅普诺夫指数被$\kappa=2\pi T_H/(1-\mu\mathcal{L})$限制，这类似于表面引力，但适用于旋转冲击波，并且对于接近极端的黑洞更接近等式。对于AdS尺度较小的情况，我们发现李雅普诺夫指数可以超过$\mathcal{L}$的较大值的限制。由于冲击波的电荷和磁荷的存在，我们还表明该全息系统的随机化过程被一个依赖于冲击波电荷的时间尺度所延迟。这些计算也适用于该黑洞的超旋转版本。本文的结果推广了由体中的EMDA理论描述的混沌系统的全息计算。 显示英文摘要

摘要： The scrambling time and its delay are calculated using holography in an asymptotically AdS black hole solution of the gauged Einstein-Maxwell-Dilaton-Axion (EMDA) theory, the dyonic Kerr-Sen-AdS$_4$ black hole, perturbed by rotating and charged shock waves along the equator. The leading term of the scrambling time for a black hole with large entropy is logarithmic in the entropy and hence supports the fast scrambling conjecture for this black hole solution, which implies that the system under consideration is chaotic. We also find that the instantaneous minimal Lyapunov index is bounded by $\kappa=2\pi T_H/(1-\mu\mathcal{L})$, which is analogous to the surface gravity but for the rotating shock waves, and becomes closer to equality for the near extremal black hole. For a small value of the AdS scale, we found that the Lyapunov exponent can exceed the bound for a large value of $\mathcal{L}$. Due to the presence of the electric and magnetic charge of the shock waves, we also show that the scrambling process of this holographic system is delayed by a time scale that depends on the charges of the shock waves. The calculations also hold for the ultra-spinning version of this black hole. The result of this paper generalizes the holographic calculations of chaotic systems which are described by an EMDA theory in the bulk.