Eveliina Peltola
Published 2019-10-13Version 1
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.
Comments: 43 pages, 7 figures. To appear in J. Math. Phys. (part of the Special Collection: XIX:th International Congress on Mathematical Physics)
Probabilistic construction of simply-laced Toda conformal field theories
On Connections of Conformal Field Theory and Stochastic Lœwner Evolution
The Heisenberg group and conformal field theory
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