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Abstract
We study quantum chaos of rotating BTZ black holes in Topologically Massive gravity (TMG). We discuss the relationship between chaos parameters including Lyapunov exponents and butterfly velocities from shock wave calculations of out-of-time-order correlators (OTOC) and from pole-skipping analysis. We find a partial match between pole-skipping and the OTOC results in the high temperature regime. We also find that the velocity bound puts a chaos constraint on the gravitational Chern-Simons coupling.
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1 Beihang University, Center for Gravitational Physics, Department of Space Science, and International Research Institute of Multidisciplinary Science, Beijing, China (GRID:grid.64939.31) (ISNI:0000 0000 9999 1211); Ministry of Industry and Information Technology, Key Laboratory of Space Environment Monitoring and Information Processing, Beijing, China (GRID:grid.424018.b) (ISNI:0000 0004 0605 0826)