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We study a 2-dimensional SYK model with $\mathcal{N}=(0,2)$ supersymmetry.The model describes $N$ chiral supermultiplets and $M$ Fermi supermultipletswith a $(q+1)$-field interaction. We solve the model analytically andnumerically in the $N\gg 1$, $M\gg 1$ limit with $\mu\equiv \frac{M}{N}$ beinga free parameter. Two distinct higher-spin symmetries emerge when the $\mu$parameter approaches the two ends of its range. This is verified by theappearance of conserved higher-spin operators and the vanishing of chaoticbehaviors in the two limits. Therefore this model provides a manifestrealization of the widely believed connection between SYK-like models andhigher-spin theories. In addition, as the parameter $\mu$ varies we find thelargest Lyapunov exponent of this model to be slightly larger than that inmodels with non-chiral supersymmetry. A tensor model without random couplingsthat shares the same infrared physics is also introduced.

$\mathcal{N}=(0,2)$ SYK, Chaos and Higher-Spins