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arXiv · 2306.03930

Pole-skipping in a non-black-hole geometry

Makoto Natsuume·Takashi Okamura
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Abstract

The pole-skipping has been discussed in black hole backgrounds, but we point out that the pole-skipping exists even in a non-black-hole background, the AdS soliton. For black holes, the pole-skipping points are typically located at imaginary Matsubara frequencies $ω=-(2πT)ni$ with an integer $n$. The AdS soliton is obtained by the double Wick rotation from a black hole. As a result, the pole-skipping points are located at $q_z=-(2πn)/l$, where $l$ is the $S^1$ periodicity and $q_z$ is the $S^1$ momentum. The ``chaotic" and the ``hydrodynamic" pole-skipping points lie in the physical region. We also propose a method to identify all pole-skipping points instead of the conventional method.

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Makoto Natsuume, Takashi Okamura. 2023-08-08. Pole-skipping in a non-black-hole geometry. https://arxiv.org/abs/2306.03930

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