标题： 混沌动力学：弦围绕共形黑洞的运动 显示英文标题

标题： Chaotic dynamics of string around the conformal black hole

摘要： 本文系统深入地研究了弦围绕共形黑洞的混沌动力学。根据共形黑洞的特征参数和弦的初始位置，存在三种动力学行为：有序、混沌且被捕获、混沌但未被捕获。一个特别有趣的现象是，当黑洞视界消失时，混沌动力学中会出现急剧转变，且这种转变与弦的初始位置无关。这为探测大质量物体的视界结构提供了一种可能的方法。我们还检验了在全息对偶场论中提出的广义MSS（Maldacena、Shenker和Stanford）不等式，发现即使在渐近平直黑洞背景下，该不等式也成立。特别是，当弦的初始位置接近黑洞视界时，李雅普诺夫指数也趋近于广义MSS不等式的上界。 显示英文摘要

摘要： In this paper, we make a systematical and in-depth study on the chaotic dynamics of the string around the conformal black hole. Depending on the characteristic parameter of the conformal black hole and the initial position of the string, there are three kinds of dynamical behaviors: ordered, chaotic and being captured, chaotic but not being captured. A particular interesting observation is that there is a sharp transition in chaotic dynamics when the black hole horizon disappears, which is indepent of the initial position of the string. It provides a possible way to probe the horizon structure of the massive body. We also examine the generalized MSS (Maldacena, Shenker and Stanford) inequality, which is proposed in holographic dual field theory, and find that the generalized MSS inequality holds even in the asymptotically flat black hole background. Especially, as the initial position of the string approaches the black hole horizon, the Lyapunov exponent also approaches the upper bound of the generalized MSS inequality.