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arXiv · 2210.01847

Dualities between fermionic theories and the Potts model

Vladimir Narovlansky
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Abstract

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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Vladimir Narovlansky. 2022-10-04. Dualities between fermionic theories and the Potts model. https://doi.org/10.1007/jhep06(2023)148

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