Chaotic dynamics of the mass deformed ABJM model

We explore the chaotic dynamics of mass-deformed Aharony-Bergman-Jafferis-Maldacena model. To do so, we first perform a dimensional reduction this model from $2+1$ to $0+1$ dimensions, considering that fields are spatially uniform. Working in 't Hooft limit and tracing over ansatz configurations involving fuzzy 2-spheres, which described terms Gomis-Rodriguez-Gomez-Van Raamsdonk-Verlinde matrices with collective time dependence, obtain family reduced effective Lagrangians demonstrate they have by computing associated Lyapunov exponents. In particular, focus on how largest exponent, $\lambda_L$, changes as function $E/N^2$. Depending structure potentials, find either $\lambda_L \propto (E/N^2)^{1/3}$ or (E/N^2 - \gamma_N)^{1/3}$, where $\gamma_N(k, \mu)$ constants determined Chern-Simons coupling $k$, mass $\mu$, matrix level $N$. Noting classical approximates quantum theory only high-temperature regime, investigate temperature dependence exponents give upper bounds above $\lambda_L$ values comply Maldacena-Shenker-Stanford bound, $ \lambda_L \leq 2 \pi T $, below it will eventually be not obeyed.