Chaos in three-dimensional higher spin gravity

Narayan, Prithvi (0000 0004 6022 0646, grid.494639.5, Department of Physics, Indian Institute of Technology Palakkad, Kozhippara P.O., Palakkad, 678557, India) ; Yoon, Junggi (0000 0004 0610 5612, grid.249961.1, School of Physics, Korea Institute for Advanced Study, 85 Hoegiro Dongdaemun-gu, Seoul, 02455, Republic of Korea)

11 July 2019

Abstract: We discuss SL( N, ℂ) Chern-Simons higher spin gauge theories in Euclidean AdS 3 . 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 $$ \mathcal{W} $$ -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 2 π β N − 1 $$ \frac{2\pi }{\beta}\left(N - 1\right) $$ .

Published in: JHEP 1907 (2019) 046 DOI: 10.1007/JHEP07(2019)046
arXiv: 1903.08761
License: CC-BY-4.0

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