Berry采摘：BPS微观态几何的随机波混沌层次结构
Berry Picking: Random Wave Chaos Hierarchy for BPS Microstate Geometries
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中文总结 AI 辅助
研究不同超引力背景下探测波与测地线的混沌强度，发现波混沌随超对称减少和喉道变长变强，测地线运动则相反，还通过相关测试及计算解释二者差异，指出BPS混沌层次在体和场论中作用不同。
中文摘要 AI 辅助
我们估计了在具有递减超对称性和/或增加内部AdS喉道长度（LLM几何、超管、超层）的不同光滑超引力背景中探测波和探测测地线的混沌强度。我们发现，随着超对称性减少和喉道变长，波混沌变得越来越强；换句话说，当我们接近黑洞解时，混沌变得更强。测地线运动显示出相反的趋势，变得越来越规则。通过其符合Berry随机波假设来测试波混沌，并通过计算庞加莱截面来测试测地线混沌，我们通过长喉道内稳定周期轨道的存在来解释波和测地线运动之间的二分法，而KAM环面的总体测度减小。在弱耦合 regime中计算对偶CFT态的Renyi熵，我们表明它们没有这样的普遍趋势，并且复杂性取决于态的具体情况，而不仅仅是超对称量和喉道长度。我们得出结论，BPS混沌层次在体和场论中的作用不同，并且在任何一种情况下都不能简单地外推到黑洞。
英文摘要
We estimate the strength of chaos of probe waves and probe geodesics in different smooth supergravity backgrounds of decreasing supersymmetry and/or increasing length of the AdS throat in the interior. Since BPS spectra are highly degenerate and thus do not display the level repulsion that ordinarily diagnoses chaos, we propose compliance with the Berry random wave hypothesis for probe wavefunctions as a new notion of BPS chaos suited to the supergravity regime. The wave chaos becomes stronger and stronger with less supersymmetry and longer throats (i.e., as we approach black hole solutions). Geodesic motion shows the opposite trend, becoming more and more regular. We explain this dichotomy by the existence of stable periodic orbits inside long throats while the overall measure of KAM tori decreases. Computing the Rényi entropies for the dual CFT states in the weak coupling regime, we show that they do not have such universal behavior.
