Stochastic Schramm-Loewner Evolution (SLE) from Statistical Conformal Field Theory (CFT): An Introduction for (and by) Amateurs

Denis Bernard (1)

1 LPENS - Laboratoire de physique de l'ENS - ENS Paris

The lectures will be devoted to a somewhat detailed presentation of Stochastic Schramm-Loewner Evolutions (SLE), which are Markov processes describing fractal curves or interfaces in two-dimensional critical systems. A substantial part of the lectures will cover the connection between statistical mechanics and processes which, in the present context, leads to a connection between SLE and conformal field theory (CFT). These lectures aim at filling part of the gap between the mathematical and physics approaches. They are intended to be at an introductory level.

Domaines: Physique mathématique [math-ph]

Denis Bernard. Stochastic Schramm-Loewner Evolution (SLE) from Statistical Conformal Field Theory (CFT): An Introduction for (and by) Amateurs. 2012. ⟨hal-03384165⟩