Conformal field theories in random domains and stochastic Loewner evolutions

Denis Bernard (1)

1 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]

We review the recently developed relation between the traditional algebraic approach to conformal field theories and the more recent probabilistic approach based on stochastic Loewner evolutions. It is based on implementing random conformal maps in conformal field theories.

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Mécanique statistique [cond-mat.stat-mech]; Physique mathématique [math-ph]

Denis Bernard. Conformal field theories in random domains and stochastic Loewner evolutions. XIV international congress on Mathematical Physcis,, Jul 2003, Lisbon, France. ⟨hal-03083865⟩