Dubedat Screening and Level Two Non-Degeneracy

Abstract

Dubedat screening refers to a conformal field theoretic method for solving BPZ equations, a system of PDEs whose solutions describe multiple chordal SLE curves in a simply connected domain. This talk explains how the solution introduces a level two non-degenerate vertex exponential into the system, and how this leads to a loss of a martingale observable property for the evolution of a field under the corresponding SLE flow. I will then present a simple fix to the Dubedat screening system that restores this martingale observable property.