Gaussian Free Field and Schramm-Loewner Evolution - Part 2

Explore the second part of a comprehensive lecture on Gaussian free field (GFF) and Schramm--Loewner Evolution (SLE) presented by Eveliina Peltola from Aalto University at IPAM's Geometry, Statistical Mechanics, and Integrability Tutorials. Delve into these two fundamental objects in random geometry, with the GFF representing a rough version of a random harmonic generalized function and SLE characterizing a family of random curves with conformal invariance and domain Markov property. Discover how the GFF is conjectured to describe scaling limits in various statistical physics models and its role in Liouville conformal field theory. Examine the intricate connections between GFF and SLE, including the relationship between GFF "zero-height" level lines and SLE curves. Gain a solid foundation in these critical concepts that bridge statistical mechanics, quantum field theory, and conformal geometry.

Eveliina Peltola - Gaussian free field and Schramm--Loewner Evolution (Part 2) - IPAM at UCLA