Pole-skipping in rotating BTZ black holes

A bstract Motivated by the connection between pole-skipping phenomena of two point functions and four out-of-time-order correlators, we study for rotating BTZ black holes. In particular, investigate effect rotations on various fields with spin s = 1 / 2 , 3, extending previous research 0 2. We derive an analytic full tower points fermionic ( 2) vector 1) exact holographic Green’s functions. For non-extremal hole, leading frequency is ω πiT h − + ν Ω) (1 Ω ) where T temperature, rotation, := (∆ ∆ 2, difference conformal dimensions ± ). These are confirmed another independent method: near-horizon analysis. extremal find that can occur at $$ {\omega}_{\textrm{leading}}^{\textrm{extremal}} ω leading extremal −2 R only when 1, temperature right moving mode. It non-trivial because it cannot be achieved simply taking extreme limit → hole result.