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arXiv · 2307.11178

Pole-skipping as missing states

Makoto Natsuume·Takashi Okamura
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Abstract

It remains unclear in general how the pole-skipping appears as a physical phenomenon, and we study the issue in the context of the AdS soliton. The pole-skipping has been discussed in black hole backgrounds, but the pole-skipping occurs even in the AdS soliton background. The geometry has a compact $S^1$-direction, and we compute the mass spectrum for the bulk scalar field, the bulk Maxwell field, and the gravitational perturbations with $S^1$ momentum. We show that the pole-skipping leaves its fingerprint in the the normal mode spectrum. The spectrum has some puzzling features because the would-be states are missing at pole-skipping points. The puzzling features disappear once one takes into account these pole-skipping points that we call "missing states."

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Makoto Natsuume, Takashi Okamura. 2023-10-25. Pole-skipping as missing states. https://arxiv.org/abs/2307.11178

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