Towards a conformal field theory for Schramm-Loewner evolutions
arXiv:1910.05796 · doi:10.1063/1.5094364
Abstract
We discuss the partition function point of view for chordal Schramm-Loewner evolutions and their relationship with correlation functions in conformal field theory. Both are closely related to crossing probabilities and interfaces in critical models in two-dimensional statistical mechanics. We gather and supplement previous results with different perspectives, point out remaining difficulties, and suggest directions for future studies.
(v2): references updated; final version