We study pole skipping in holographic conformal field theories dual to diffeomorphism invariant theories containing an arbitrary number of bosonic fields in the large $N$ limit. Defining a weight to organize the bulk equations of motion, a set of general pole skipping conditions are derived. In particular, the frequencies simply follow from general covariance and weight matching. In the presence of higher-spin fields, we find that the imaginary frequency for the highest-weight pole skipping point equals the higher-spin Lyapunov exponent which lies outside of the chaos bound. Without higher-spin fields, we show that the energy density Green’s function has its highest-weight pole skipping happening at a location related to the out-of-time-order correlator for arbitrary higher-derivative gravity, with a Lyapunov exponent saturating the chaos bound and a butterfly velocity matching that extracted from a shockwave calculation. We also suggest an explanation for this matching at the metric level by obtaining the on-shell shockwave solution from a regularized limit of the metric perturbation at the skipped pole.

中文翻译：

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玻色子场全息理论中的极点跳跃

我们研究了全息共形场理论中的极点跳跃，对偶于微分同胚不变量理论，其中包含大空间中任意数量的玻色子场$否$限制。定义一个权重来组织大量的运动方程，推导出一组通用的跳极条件。特别是，频率简单地遵循一般协方差和权重匹配。在存在更高自旋场的情况下，我们发现最高权极跳点的虚频等于位于混沌边界之外的更高自旋 Lyapunov 指数。在没有更高自旋场的情况下，我们表明能量密度格林函数在与任意高导引力的乱序相关子相关的位置发生了其最高权重的极跳动，李雅普诺夫指数使混沌饱和边界和从冲击波计算中提取的蝴蝶速度匹配。