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

dc.creatorEto, Minoru
dc.creatorFerretti, Luca
dc.creatorKonishi, Kenichi
dc.creatorMarmorini, Giacomo
dc.creatorNitta, Muneto
dc.creatorOhashi, Keisuke
dc.creatorVinci, Walter
dc.creatorYokoi, Naoto
dc.date2006-11-28
dc.date2007-05-16
dc.date.accessioned2026-07-07T11:23:17Z
dc.date.available2026-07-07T11:23:17Z
dc.descriptionIt 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 π_2(G/H), follows from that among the non-Abelian vortices with flux quantized according to π_1(H), via the isomorphism π_1(G) \sim π_1(H) / π_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 >> Λ) 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 Λ).
dc.description2+27 pages, 5 figures; v3, minor changes
dc.identifierhttps://arxiv.org/abs/hep-th/0611313
dc.identifierhttp://arxiv.org/abs/hep-th/0611313
dc.identifierNucl.Phys.B780:161-187,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.03.040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194844
dc.subjectHigh Energy Physics - Theory
dc.titleNon-Abelian duality from vortex moduli: a dual model of color-confinement
dc.typetext

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