Random forests and fermionic field theories
Kick-off event on Wed 29.10.25 at Institut Henri Poincaré. Inscriptions: link indico
The seminars at IHES will take place on the following Wednesdays: 12.11, 26.11 and 10.12, see program
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.
All talks Fall '25: random forests and fermionic field theories