Semi-classical Theory of Large N Tensor Model Chaos

Lately, the Sachdev-Ye-Kitaev (SYK) model has become increasingly important due to its chaotic dynamics and its approximate conformal symmetry. The model’s conformal symmetry suggests the existence of a holographic dual, rendering the model important in the study of quantum gravity. Tensor models have been found to be similar to the SYK model, in that they exhibit the dominance of melonic diagrams. In this paper, we study the chaotic dynamics of the Tensor Models semi-classically, by finding the spectrum of the Lyapunov exponent. We introduce a classical version of the Tensor model for which chaos can be understood as arising from nonlinear dynamics of the equation of motion.