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

Minoru Eto, Luca Ferretti, Kenichi Konishi, Giacomo Marmorini, Muneto Nitta, Keisuke Ohashi, Walter Vinci, Naoto Yokoi

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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, v1 ≫ v2) G over(→, v1) H over(→, v2) 1, under an unbroken, exact color-flavor diagonal symmetry HC + F ∼ over(H, ̃). The transformation property among the regular monopoles characterized by π2 (G / H), follows from that among the non-Abelian vortices with flux quantized according to π1 (H), via the isomorphism π1 (G) ∼ π1 (H) / π2 (G / H). Our idea is tested against the concrete models-softly-broken N = 2 supersymmetric SU (N), SO (N) and USp (2 N) theories, with appropriate number of flavors. The results obtained in the semiclassical regime (at v1 ≫ v2 ≫ Λ) of these models are consistent with those inferred from the fully quantum-mechanical low-energy effective action of the systems (at v1, v2 ∼ Λ).

Original languageEnglish
Pages (from-to)161-187
Number of pages27
JournalNuclear Physics B
Volume780
Issue number3
DOIs
Publication statusPublished - 2007 Oct 1

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monopoles
vortices
color
isomorphism
hierarchies
energy
broken symmetry
symmetry
configurations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Eto, M., Ferretti, L., Konishi, K., Marmorini, G., Nitta, M., Ohashi, K., ... Yokoi, N. (2007). Non-Abelian duality from vortex moduli: A dual model of color-confinement. Nuclear Physics B, 780(3), 161-187. https://doi.org/10.1016/j.nuclphysb.2007.03.040

Non-Abelian duality from vortex moduli : A dual model of color-confinement. / Eto, Minoru; Ferretti, Luca; Konishi, Kenichi; Marmorini, Giacomo; Nitta, Muneto; Ohashi, Keisuke; Vinci, Walter; Yokoi, Naoto.

In: Nuclear Physics B, Vol. 780, No. 3, 01.10.2007, p. 161-187.

Research output: Contribution to journalArticle

Eto, M, Ferretti, L, Konishi, K, Marmorini, G, Nitta, M, Ohashi, K, Vinci, W & Yokoi, N 2007, 'Non-Abelian duality from vortex moduli: A dual model of color-confinement', Nuclear Physics B, vol. 780, no. 3, pp. 161-187. https://doi.org/10.1016/j.nuclphysb.2007.03.040
Eto, Minoru ; Ferretti, Luca ; Konishi, Kenichi ; Marmorini, Giacomo ; Nitta, Muneto ; Ohashi, Keisuke ; Vinci, Walter ; Yokoi, Naoto. / Non-Abelian duality from vortex moduli : A dual model of color-confinement. In: Nuclear Physics B. 2007 ; Vol. 780, No. 3. pp. 161-187.
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