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arXiv · 1905.12014

Holographic chaos, pole-skipping, and regularity

Makoto Natsuume·Takashi Okamura
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Abstract

We investigate the "pole-skipping" phenomenon in holographic chaos. According to the pole-skipping, the energy-density Green's function is not unique at a special point in complex momentum plane. This arises because the bulk field equation has two regular near-horizon solutions at the special point. We study the regularity of two solutions more carefully using curvature invariants. In the upper-half $\omega$-plane, one solution, which is normally interpreted as the outgoing mode, is in general singular at the future horizon and produces a curvature singularity. However, at the special point, both solutions are indeed regular. Moreover, the incoming mode cannot be uniquely defined at the special point due to these solutions.

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Makoto Natsuume, Takashi Okamura. 2019-05-28. Holographic chaos, pole-skipping, and regularity. https://doi.org/10.1093/ptep/ptz155

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