paper

A new class of SYK-like models with maximal chaos

arXiv:1808.01190 · doi:10.1007/JHEP01(2019)166

Abstract

We investigate a model closely related to both the original Sachdev-Ye-Kitaev (SYK) model and the $N = 1$ supersymmetric SYK model. It consists of $N$ real Majorana fermions and $M$ auxiliary bosons with Yukawa interactions. We consider the large $N$ and $M$ limit and keep the ratio $M / N$ fixed. The model has two branches characterized by the conformal dimensions of fields, which we compute as a function of the ratio $M / N$ . One of the branches contains the supersymmetric saddle for $M = N$ . Furthermore, we determine the Lyapunov exponent of the model and find maximal chaos independent of $M / N$ .

24 pages, 7 figures. v2: error corrected and chaos bound now satisfied