N = (0;2) SYK, chaos and higher-spins

We study a 2-dimensional SYK-like model with N= supersymmetry. The model describes N chiral supermultiplets and M Fermi supermultiplets with a (q + 1)- field interaction. We solve the model analytically and numerically in the N >> 1, M >> 1 limit with being a free parameter. Two distinct higher-spin symmetries emerge when the parameter approaches the two ends of its range. This is verified by the appearance of conserved higher-spin operators and the vanishing of chaotic behaviors in the two limits. Therefore this model provides a manifest realization of the widely believed connection between SYK-like models and higher-spin theories. In addition, as the parameter varies we find the largest Lyapunov exponent of this model to be slightly larger than that in models with non-chiral supersymmetry.