Abstract
Using covariant expansions, recent work showed that pole skipping happens in general holographic theories with bosonic fields at frequencies i(lb − s)2πT, where lb 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 i(lf − s)2πT, lf 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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Acknowledgments
It is a pleasure to thank Mike Blake, Nejc Čeplak, Natalia Pinzani-Fokeeva and Anthony P. Thompson for discussions on pole skipping, Xi Dong, Adolfo Holguin, Gary Horowitz and Sean McBride for discussions on spinors, and Tom Hartman, Eric Perlmutter, Douglas Stanford and Shunyu Yao for discussions on chaos and the Lyapunov exponent. SN wants to thank Joseph Conlon for his encouragement and support during the work. SN is supported by China Scholarship Council-FaZheng Group at the University of Oxford. DW is supported by NSF grant PHY2107939. ZYW is supported by the U.S. Department of Energy, Office of Science, under Award Number DE-SC0011702.
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Ning, S., Wang, D. & Wang, ZY. Pole skipping in holographic theories with gauge and fermionic fields. J. High Energ. Phys. 2023, 84 (2023). https://doi.org/10.1007/JHEP12(2023)084
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DOI: https://doi.org/10.1007/JHEP12(2023)084