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Classifying pole-skipping points

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arxiv 2010.16166 v2 pith:Y3ZOPTQJ submitted 2020-10-30 hep-th

Yongjun Ahn , Viktor Jahnke , Hyun-Sik Jeong , Keun-Young Kim , Kyung-Sun Lee , Mitsuhiro Nishida This is my paper
classification hep-th
keywords pole-skippingpointsfunctiongreennear-horizonanalysisclarifycondition
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abstract

We clarify general mathematical and physical properties of pole-skipping points. For this purpose, we analyse scalar and vector fields in hyperbolic space. This setup is chosen because it is simple enough to allow us to obtain analytical expressions for the Green's function and check everything explicitly, while it contains all the essential features of pole-skipping points. We classify pole-skipping points in three types (type-I, II, III). Type-I and Type-II are distinguished by the (limiting) behavior of the Green's function near the pole-skipping points. Type-III can arise at non-integer $i\omega$ values, which is due to a specific UV condition, contrary to the types I and II, which are related to a non-unique near-horizon boundary condition. We also clarify the relation between the pole-skipping structure of the Green's function and the near-horizon analysis. We point out that there are subtle cases where the near-horizon analysis alone may not be able to capture the existence and properties of the pole-skipping points.

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Cited by 5 Pith papers

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

  1. High-Order Pole-Skipping in Near-Extremal Holography

    hep-th 2026-07 conditional novelty 7.0 of 10

    In near-extremal holographic black holes, the n-th order pole-skipping momentum with mode index q becomes order-independent as T→0: k²_{n,q} → −m²h(r_h) + ½q(q−1)h(r_h)f″(r_h), with q identified as the AdS2 IR conform...

  2. 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.

  3. 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.

  4. Thermal field theory correlators in the large-$N$ limit and the spectral duality relation

    hep-th 2025-09 conditional novelty 6.0 of 10

    The spectral duality relation, previously found for 3d CFTs and 4d black holes, is shown to hold for meromorphic thermal two-point correlators in any dimension and for correlators related by double-trace deformations,...

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

    cs.AI 2025-08 unverdicted novelty 4.0 of 10

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