Kick-off event: AI and the future of mathematics and physics - 21.10.2026
In light of recent developments, the incoming kick-off event at the Institut Henri Poincaré will take the form of a debate gathering mathematicians and theoretical physicists around the role of AI in the practice of research. Registration: indico.math.cnrs.fr/event/17376/.
Dualities between fermionic theories and the Potts model
byVladimir Narovlansky
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 \(\text{ OSp(1\vert2M)}\) invariant field theories that provide a UV completion to sigma models with the same symmetry.