Higher-spin localized shocks
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.
Authors
- Diandian Wang (ORCID: https://orcid.org/0000-0001-6928-2729)
- Zi-Yue Wang (ORCID: https://orcid.org/0000-0002-3214-520X)
Institutions
- Harvard University Press (US)
- University of California System (US)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2025-09-10
- DOI
- https://doi.org/10.1103/fpbn-pkyh
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation