Quantum Chaos in Topologically Massive Gravity

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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.