2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100735The Stochastic Loewner evolution is a recent tool in the study of two-dimensional critical systems. We extend this approach to the case of critical systems with continuous symmetries, such as SU(2) Wess-Zumino-Witten models, where domain walls carry an additional spin 1/2 degree of freedom. We show that the stochastic evolution results in the Knizhnik-Zamolodchikov equation for correlation functions.High Energy Physics - TheoryStatistical MechanicsMathematical Physicstext