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Chaos in three-dimensional higher spin gravity
Published in Springer Verlag
Volume: 2019
Issue: 7
Pages: 1 - 48
We discuss SL(N, ℂ) Chern-Simons higher spin gauge theories in Euclidean AdS3. With appropriate boundary term, we derive the higher spin generalization of Schwarzian on-shell action. We investigate gravitationally dressed bi-locals, and we study the soft higher spin mode expansion to obtain soft mode eigenfunctions. We also derive the spin-s eigenfunction from Ward identity of W-algebra and a recursion relation. Using the on-shell action, we evaluate the contributions of the soft higher spin modes to the out-of-time-order correlators, and the corresponding Lyapunov exponent of SL(N) higher spin gravity is found to be 2πβ(N−1). © 2019, The Author(s).
About the journal
JournalData powered by TypesetJournal of High Energy Physics
PublisherData powered by TypesetSpringer Verlag
Open AccessNo