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- Title
Pole-skipping in rotating BTZ black holes.
- Authors
Jeong, Hyun-Sik; Ji, Chang-Woo; Kim, Keun-Young
- 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 non-extremal black hole, the leading pole-skipping frequency is ωleading = 2πiTh(s − 1 + νΩ)/(1 − Ω2) where Th is the temperature, Ω the rotation, and ν := (∆+ − ∆−)/2, the difference of conformal dimensions (∆±). These are confirmed by another independent method: the near-horizon analysis. For the extremal black hole, we find that the leading pole-skipping frequency can occur at ω leading extremal = −2πiTR(s + 1) only when ν = s + 1, where TR is the temperature of the right moving mode. It is non-trivial because it cannot be achieved by simply taking the extreme limit (Th → 0, Ω → 1) of the non-extremal black hole result.
- Subjects
BLACK holes; GREEN'S functions; CONDENSED matter physics
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 8, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP08(2023)139