We show that a large class of fermionic theories are dual to a $q \to 0$
    limit of the Potts model in the presence of a magnetic field. These can be
    described using a statistical model of random forests on a graph, generalizing
    the (unrooted) random forest description of the Potts model with only nearest
    neighbor interactions. We then apply this to find a statistical description of
    a recently introduced family of $OSp(1|2M)$ invariant field theories that
    provide a UV completion to sigma models with the same symmetry.

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