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Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography

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arxiv 2006.00974 v3 pith:OFN3GSD6 submitted 2020-06-01 hep-th gr-qc

Yongjun Ahn , Viktor Jahnke , Hyun-Sik Jeong , Keun-Young Kim , Kyung-Sun Lee , Mitsuhiro Nishida This is my paper
classification hep-thgr-qc
keywords conformalfunctionspointpole-skippingblocksfieldfieldshyperbolic
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Motivated by the recent connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators (OTOCs), we study the pole structure of thermal two-point functions in $d$-dimensional conformal field theories (CFTs) in hyperbolic space. We derive the pole-skipping points of two-point functions of scalar and vector fields by three methods (one field theoretic and two holographic methods) and confirm that they agree. We show that the leading pole-skipping point of two point functions is related with the late time behavior of conformal blocks and shadow conformal blocks in four-point OTOCs.

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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. Probing Stringy Horizons with Pole-Skipping in Non-Maximal Chaotic Systems

    hep-th 2025-12 conditional novelty 7.0 of 10

    Pole-skipping points in non-maximally chaotic systems form Regge-like trajectories whose leading curve encodes the quantum Lyapunov exponent.

  3. 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.

  4. 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.

  5. 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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