Dynamics of non-Abelian strings in the theory interpolating from N=2 to N=1 supersymmetric QCD

We study the dynamics of non-Abelian vortex strings supported in N = 2 supersymmetric QCD with the U(N) gauge group and N (f) = N quark flavors deformed by the mass mu of the adjoint matter. In the limit of large mu the bulk four-dimensional theory flows to N = 1 supersymmetric QCD. The dynamics of orientational zero modes of the non-Abelian string is described by the world sheet CP(N - 1) model. At mu = 0 this model has N = (2,2) supersymmetry while at large mu it flows to the nonsupersymmetric CP(N - 1) model. We solve the world sheet model in the large N approximation and find a rich phase structure with respect to the deformation parameter mu and quark mass differences. The phases include two strong coupling phases and two Higgs phases. In particular, the Higgs phase at small mu supports CP(N - 1) model kinks representing confined monopoles of the bulk QCD, while in the large-mu Higgs phase monopoles disappear.