Combinatorial topological quantum field theories and geometrical constructions of integers in finite group representation theory
De Sanjaye Ramgoolam
De Mireille Bousquet-Mélou
De Igor Kortchemski
De Jérémie Bouttier
Apparaît dans la collection : Slava Rychkov – Random Field Ising Model and Parisi-Sourlas Supersymmetry
Numerical evidence suggests that the Random Field Ising Model loses Parisi-Sourlas SUSY and the dimensional reduction property somewhere between 4 and 5 dimensions, while a related model of branched polymers retains these features in any d. I will present a recent theory, developed in 2019-2021 jointly with A. Kaviraj and E. Trevisani and published in [1-4], which aims to explain these facts.