# Non-Abelian duality from vortex moduli: a dual model of color-confinement

Eto, Minoru and Ferretti, Luca and Konishi, Kenichi and Marmorini, Giacomo and Nitta, Muneto and Ohashi, Keisuke and Vinci, Walter and Yokoi, Naoto (2007) Non-Abelian duality from vortex moduli: a dual model of color-confinement. Nuclear Physics B, 780 (3). pp. 161-187. ISSN 1873-1562

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## Abstract

It is argued that the dual transformation of non-Abelian monopoles occurring in a system with gauge symmetry breaking G -> H 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, v_1 >> v_2) G -> H -> 0, under an unbroken, exact color-flavor diagonal symmetry H_{C+F} \sim {\tilde H}. The transformation property among the regular monopoles characterized by \pi_2(G/H), follows from that among the non-Abelian vortices with flux quantized according to \pi_1(H), via the isomorphism \pi_1(G) \sim \pi_1(H) / \pi_2(G/H). Our idea is tested against the concrete models -- softly-broken {\cal N}=2 supersymmetric SU(N), SO(N) and USp(2N) theories, with appropriate number of flavors. The results obtained in the semiclassical regime (at v_1 >> v_2 >> \Lambda) of these models are consistent with those inferred from the fully quantum-mechanical low-energy effective action of the systems (at v_1, v_2 \sim \Lambda).

Item Type: Article Imported from arXiv Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA dott.ssa Sandra Faita 04 Feb 2014 15:16 04 Feb 2014 15:16 http://eprints.adm.unipi.it/id/eprint/1698

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