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arXiv · 1903.08761

Chaos in Three-dimensional Higher Spin Gravity

Prithvi Narayan·Junggi Yoon
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Abstract

We discuss $SL(N,\mathbb{C})$ 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 $\mathcal{W}$-Ward identity 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 ${2π\over β}(N-1)$.

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Prithvi Narayan, Junggi Yoon. 2019-06-10. Chaos in Three-dimensional Higher Spin Gravity. https://doi.org/10.1007/jhep07(2019)046

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