Probabilistic approach to irregular fields of rank one in Liouville theory

Date: 2022-08-10

Time: 16:15 - 17:15


Julien Roussillon


In two-dimensional conformal field theories, an irregular field of rank one formally emerges from the collision of two primary fields at a given point. In the case of Liouville theory, such a collision limit can formally be applied to correlation functions by sending two conformal dimensions to pm iinfty while keeping their sum fixed. The aim of this talk is to give convincing arguments that correlation functions of an arbitrary number of irregular fields of rank one and primary fields in Liouville theory exist within the probabilistic framework of David, Kupiainen, Rhodes and Vargas. This talk is based on ongoing work with Christophe Charlier and Jonatan Lenells.