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In the context of anti-de Sitter/conformal field theory , gravitational shockwaves serve as a geometric manifestation of boundary quantum chaos. We study this connection in general diffeomorphism-invariant theories involving an arbitrary number of bosonic fields. Specifically, we demonstrate that theories containing spin-2 or higher-spin fields generally admit classical localized shockwave solutions on black hole backgrounds, whereas spin-0 and spin-1 theories do not. As in the gravitational case, these higher-spin shockwaves provide a means to compute the out-of-time-order correlator. Both the Lyapunov exponent and the butterfly velocity are found to universally agree with predictions from pole skipping. In particular, higher-spin fields lead to a Lyapunov exponent that violates the chaos bound and a butterfly velocity that may exceed the speed of light.more » « lessFree, publicly-accessible full text available September 10, 2026
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Ning, Sirui; Wang, Diandian; Wang, Zi-Yue (, Journal of High Energy Physics)A<sc>bstract</sc> Using covariant expansions, recent work showed that pole skipping happens in general holographic theories with bosonic fields at frequencies i(lb−s)2πT, wherelbis the highest integer spin in the theory andstakes 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,lfbeing the highest half-integer spin in the theory andsagain 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.more » « less
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Wang, Diandian; Wang, Zi-Yue (, Physical Review Letters)
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