### 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 over(→, v_{1}) H over(→, v_{2}) 1, under an unbroken, exact color-flavor diagonal symmetry H_{C + F} ∼ over(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) ∼ π_{1} (H) / π_{2} (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 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} ∼ Λ).

Original language | English |
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Pages (from-to) | 161-187 |

Number of pages | 27 |

Journal | Nuclear Physics B |

Volume | 780 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2007 Oct 1 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*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.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 780, no. 3, pp. 161-187. https://doi.org/10.1016/j.nuclphysb.2007.03.040

}

TY - JOUR

T1 - Non-Abelian duality from vortex moduli

T2 - A dual model of color-confinement

AU - Eto, Minoru

AU - Ferretti, Luca

AU - Konishi, Kenichi

AU - Marmorini, Giacomo

AU - Nitta, Muneto

AU - Ohashi, Keisuke

AU - Vinci, Walter

AU - Yokoi, Naoto

PY - 2007/10/1

Y1 - 2007/10/1

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=34548026303&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34548026303&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2007.03.040

DO - 10.1016/j.nuclphysb.2007.03.040

M3 - Article

AN - SCOPUS:34548026303

VL - 780

SP - 161

EP - 187

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -