We consider a class of models for strongly interacting fermions that possesses supersymmetry. The benefit of incorporating this property turns out to be twofold. First, the supersymmetry leads to a considerable degree of analytic control, allowing the rigorous derivation of quite a few results, in particular on quantum ground states. Second, it induces a subtle interplay between kinetic and potential terms, which gives rise to various interesting features, such as quantum criticality and superfrustration, characterized by an extensive ground state entropy. In this talk, I will give an overview of the main results for this system, while discussing the key techniques that are available due to supersymmetry.