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Pole-skipping with finite-coupling corrections

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arxiv 1909.09168 v2 pith:HIGLNBLY submitted 2019-09-19 hep-th gr-qc

Makoto Natsuume , Takashi Okamura This is my paper
classification hep-thgr-qc
keywords specialpointscorrectionscomplexfinite-couplingmaxwellomegaperturbations
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Recently, it is shown that many Green's functions are not unique at special points in complex momentum space using AdS/CFT. This phenomenon is similar to the pole-skipping in holographic chaos, and the special points are typically located at $\omega_n = -(2\pi T)ni$ with appropriate values of complex wave number $q_n$. We study finite-coupling corrections to special points. As examples, we consider four-derivative corrections to gravitational perturbations and four-dimensional Maxwell perturbations. While $\omega_n$ is uncorrected, $q_n$ is corrected at finite coupling. Some special points disappear at particular values of higher-derivative couplings. Special point locations of the Maxwell scalar and vector modes are related to each other by the electromagnetic duality.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cosmological pole-skipping, shock waves and quantum chaotic dynamics of de Sitter horizons

    hep-th 2025-08 conditional novelty 7.0 of 10

    Pole-skipping in Schwarzschild-de Sitter predicts superluminal and imaginary butterfly velocities, confirmed by shock wave analysis, hinting at nonlocal and non-Hermitian dual dynamics.

  2. Pole-skipping without master variable and holographic superfluids

    hep-th 2025-12 conditional novelty 6.0 of 10

    A master-variable-free matrix formalism for pole-skipping, applied to holographic superfluids, shows that the massless order parameter produces no new hydrodynamic pole-skipping point.

  3. Quantum chaos and pole skipping in two-dimensional conformal perturbation theory

    hep-th 2025-09 conditional novelty 6.0 of 10

    A deformed 2D CFT's stress-tensor pole-skipping point shifts at O(lambda^2); at h=1/2 the shift matches the holographic butterfly velocity.

  4. A Dynamical Systems Framework for Reinforcement Learning Safety and Robustness Verification

    cs.AI 2025-08 unverdicted novelty 4.0 of 10

    The claimed RL safety verification framework is absent from the manuscript; the body text is an unrelated high-energy physics paper about de Sitter horizon chaos.

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