SLE with Jumps and Conformal Null Vectors

Abstract

Ordinary SLE${}_k$ is defined using a Wiener noise and is related to CFT's which have null vector at level two of conformal tower. In this paper we introduce stochastic variables which are made up of jumps and extend the ordinary SLE to have such stochastic variables. The extended SLE can be related to CFT's which have null vectors in higher levels of Virasoro module.

8 pages