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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.
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