Vacuum structure in supersymmetric Yang-Mills theories with any gauge group

We consider the pure supersymmetric Yang--Mills theories placed on a small 3-dimensional spatial torus with higher orthogonal and exceptional gauge groups. The problem of constructing the quantum vacuum states is reduced to a pure mathematical problem of classifying the flat connections on 3-dim torus which is solved in this paper. In particular, we show that for higher orthogonal and all exceptional groups the moduli space of flat connections involves several distinct isolated components. The total number of vacuum states is given in all cases by the dual Coxeter number of the group which agrees with the result obtqined earlier with the instanton techniqu