Stochastic representation of non-abelian supersymmetric quantum mechanics

Two stochastic representations of two-dimensional non-abelian supersymmetric magnetic field systems are studied. In the case of SU(2) symmetry, the first is written in terms of a Markov process with continuous components coupled to a discrete component, provided a positivity condition is satisfied. The second is based upon an embedded U(1) model and leads to a representation of the euclidean wave function as a stochastic average with respect to gaussian white noise. The relation with the Nicolai map for the abelian model is discussed. (orig.)