Paul Melotti -- Le modèle à huit sommets via les dimères
Channel: Matrices Et Graphes Aléatoires GDR CNRS
Date: 03/03/2022

Abstract: We start with the six-vertex model, which can be thought as a model for two-dimensional ice, and is related to alternating sign matrices, various loop models, and others. In a generalization that can be argued to be more physical, the eight-vertex model, I will focus on a special regime where configurations can be described by a determinantal structure. I will show how to use dimer models on non-bipartite graphs to deduce critical exponents in this model.