Chaos in the Mass-Deformed ABJM Model

Abstract

Chaotic dynamics of the mass deformed ABJM model is explored. To do so, we consider spatially uniform fields and obtain a family of reduced effective Lagrangians by tracing over ansatz configurations involving fuzzy two-spheres with collective time dependence. We examine how the largest Lyapunov exponent, $\lambda_L$, changes as a function of $E/N^2$, where $N$ is the matrix size. In particular, we inspect the temperature dependence of $\lambda_L$ and present upper bounds on the temperature above which $\lambda_L$ values comply with the MSS bound, $ \lambda_L \leq 2 \pi T $, and below which it will eventually be not obeyed.