Non-Abelian vortices with product moduli

Vortices of a new type, carrying non-Abelian flux moduli CPn-1xCPr-1, are found in the context of softly broken N=2 supersymmetric quantum chromodynamics. By tuning the bare quark masses appropriately, we identify the vacuum in which the underlying SU(N) gauge group is partially broken to SU(n)xSU(r)xU(1)/ZK, where K is the least common multiple of (n,r), and with Nfsu(n)=n and Nfsu(r)=r flavors of light quark multiplets. At much lower energies, the gauge group is broken completely by the squark vacuum expectation values, and vortices develop which carry non-Abelian flux moduli CPn-1xCPr-1. For n>r, at the length scale at which the SU(n) fluctuations become strongly coupled and Abelianize, the vortex still carries weakly fluctuating SU(r) flux moduli. We discuss the possibility that these vortices are related to the light non-Abelian monopoles found earlier in the fully quantum-mechanical treatment of 4D supersymmetric quantum chromodynamics.