Christian Webb: Bosonization in critical and near critical models of statistical field theory

Speaker
Christian Webb, University of Helsinki

Abstract
Bosonization is a curious duality occurring in certain two-dimensional field theories. It allows relating bosonic (probabilistic) models with fermionic models. I will review some recent results about bosonization in the setting of the Gaussian free field, the sine-Gordon model, the Ising model, and free fermions. This is based on joint works with R. Bauerschmidt, B. Bayraktaroglu, K. Izyurov, S. Mason, S.C. Park, and T. Virtanen.