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Pole skipping in holographic theories with gauge and fermionic fields

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arxiv 2308.08191 v2 pith:QZ52SQPR submitted 2023-08-16 hep-th cond-mat.str-elgr-qcnlin.CD

Sirui Ning , Diandian Wang , Zi-Yue Wang This is my paper · ORCID
classification hep-thcond-mat.str-elgr-qcnlin.CD
keywords formalismgaugeintegertheoriesfieldsfracfrequenciesgeneral
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Using covariant expansions, recent work showed that pole skipping happens in general holographic theories with bosonic fields at frequencies $\mathrm{i}(l_b-s) 2\pi T$, where $l_b$ is the highest integer spin in the theory and $s$ takes all positive integer values. We revisit this formalism in theories with gauge symmetry and upgrade the pole-skipping condition so that it works without having to remove the gauge redundancy. We also extend the formalism by incorporating fermions with general spins and interactions and show that their presence generally leads to a separate tower of pole-skipping points at frequencies $\mathrm{i}(l_f-s)2\pi T$, $l_f$ being the highest half-integer spin in the theory and $s$ again taking all positive integer values. We also demonstrate the practical value of this formalism using a selection of examples with spins $0,\frac{1}{2},1,\frac{3}{2},2$.

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Forward citations

Cited by 4 Pith papers

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

  1. 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.

  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. Comparative study of the butterfly velocity in holographic QCD models at finite temperature and chemical potential

    hep-th 2025-05 conditional novelty 4.0 of 10

    Using three independent holographic methods, the authors obtain matching butterfly velocities for four QCD-like models and find a universal increase with temperature and decrease with chemical potential.

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