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- W4382334250 abstract "Motivated by the connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators, we study the pole-skipping phenomena for rotating BTZ black holes. In particular, we investigate the effect of rotations on the pole-skipping point for various fields with spin $s = 1/2, 1, 2/3$, extending the previous research for $s=0, 2$. We derive an analytic full tower of the pole-skipping points of fermionic ($s=1/2$) and vector ($s=1$) fields by the exact holographic Green's functions. For the textit{non-extremal} black hole, the leading pole-skipping frequency is $omega_{text{leading}}=2pi i T_h {(s-1+nu Omega)}/{(1-Omega^2)}$ where $T_h$ is the temperature, $Omega$ the rotation, and $nu:=(Delta_+ - Delta_-)/2$, the difference of conformal dimensions ($Delta_{pm}$). These are confirmed by another independent method: the near-horizon analysis. For the textit{extremal} black hole, we find that the leading pole-skipping frequency can occur at $omega_{text{leading}}^{text{extremal}}=-2pi i T_R {(s+1)}$ only when $nu = s+1$, where $T_R$ is the temperature of the right moving mode. It is non-trivial because it cannot be achieved by simply taking the extreme limit ($T_hrightarrow 0,, Omegarightarrow 1$) of the non-extremal black hole result." @default.
- W4382334250 created "2023-06-28" @default.
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- W4382334250 date "2023-06-26" @default.
- W4382334250 modified "2023-10-16" @default.
- W4382334250 title "Pole-Skipping in Rotating BTZ Black Holes" @default.
- W4382334250 doi "https://doi.org/10.1007/jhep08(2023)139" @default.
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