Towards a conformal field theory for Schramm-Loewner evolutions
Mathematical Physics
2020-10-27 v2 math.MP
Probability
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.
Cite
@article{arxiv.1910.05796,
title = {Towards a conformal field theory for Schramm-Loewner evolutions},
author = {Eveliina Peltola},
journal= {arXiv preprint arXiv:1910.05796},
year = {2020}
}
Comments
(v2): references updated; final version