Chaos in Three-dimensional Higher Spin Gravity

Understand

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.