Dualities Between Fermionic Theories and the Potts Model (Remote)

Seed Seminar of Mathematics and Physics
Fall’ 25 : Random Forests and Fermionic Field Theories
We show that a large class of fermionic theories are dual to a q → 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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