  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.
