Quantum Chaos in Topologically Massive Gravity
Yan Liu, Avinash Raju
TL;DR
This paper investigates quantum chaos in rotating BTZ black holes within Topologically Massive Gravity, analyzing chaos parameters through shock wave calculations and pole-skipping, revealing constraints on the Chern-Simons coupling.
Contribution
It provides a comparative analysis of chaos parameters from different methods and establishes a bound on the Chern-Simons coupling based on chaos constraints.
Findings
Partial agreement between pole-skipping and OTOC results at high temperature.
Chaos velocity bound constrains the gravitational Chern-Simons coupling.
Insights into quantum chaos behavior in TMG black holes.
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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