Non-Abelian duality from vortex moduli: A dual model of color-confinement Original Research Article

It is argued that the dual transformation of non-Abelian monopoles occurring in a system with gauge symmetry breaking image is to be defined by setting the low-energy H system in Higgs phase, so that the dual system is in confinement phase. The transformation law of the monopoles follows from that of monopole-vortex mixed configurations in the system (with a large hierarchy of energy scales, image) image, under an unbroken, exact color-flavor diagonal symmetry image. The transformation property among the regular monopoles characterized by image, follows from that among the non-Abelian vortices with flux quantized according to image, via the isomorphism image. Our idea is tested against the concrete models—softly-broken image supersymmetric image, image and image theories, with appropriate number of flavors. The results obtained in the semiclassical regime (at image) of these models are consistent with those inferred from the fully quantum-mechanical low-energy effective action of the systems (at image).