Nicolai maps and fermion sectors

Nicolai maps, and particularly their fermion sector structure, are explored over a broad variety of supersymmetric theories. Studies are made in the Witten model, the N = 2 supersymmetric sigma model in 1+0 dimensions, dimensionally reduced Wess-Zumino models, and N = 1 Yang-Mills in D = 4. In general each theory yields families of Nicolai maps, each map being a Langevin equation, equivalent to the dynamics of a particular sector. We also detail the remarkable fact that closed form Nicolai maps exist for a few ordinary bosonic nonsupersymmetric theories, with ordinary QCD4 as an important example. These bosonic theories correspond to ''null-fermion'' sectors of supersymmetric theories, in which the fermions fail to contribute