Gauge symmetry breaking through the Hosotani mechanism in softly broken supersymmetric QCD

Gauge symmetry breaking through the Hosotani mechanism (the dynamics of nonintegrable phases) in softly broken supersymmetric QCD with N-F(fd) flavors is studied. For N=even, there is a single SU(N) symmetric vacuum state, while for N=odd, there is a doubly degenerate SU(N) symmetric vacuum state in the model. We also study generalized supersymmetric QCD by adding N-F(adj) numbers of massless adjoint matter. The gauge symmetry breaking pattern such as SU(3)-->SU(2)xU(1) is possible for appropriate choices of the matter content and values of the supersymmetry breaking parameter. The massless state of the adjoint Higgs scalar is also discussed in the models.