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

N1 - Funding Information:
K.K. thanks R. Auzzi, S. Bolognesi, J. Evslin, G. Paffuti, M. Strassler and A. Vainshtein for useful discussions, and the organizers of CAQCD (Continuous Advance of QCD) 2006, Minneapolis (May, 2006), of the Benasque workshop “QCD and Strings” (July, 2006), and of SCGT06 Workshop, Nagoya (November, 2006), for stimulating occasions to discuss some of the ideas exposed here. M.N., K.O. and M.E. thank E. Weinberg for fruitful discussions and KIAS for warm hospitality. G.M. and W.V. wish to thank the Theoretical HEP Group of the Tokyo Institute of Technology and the Theoretical Physics Laboratory of RIKEN for their warm hospitality. The work of M.E. and K.O. is supported by Japan Society for the Promotion of Science under the Post-doctoral Research Program. The work of N.Y. is supported by the Special Postdoctoral Researchers Program at RIKEN.

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).

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U2 - 10.1016/j.nuclphysb.2007.03.040

DO - 10.1016/j.nuclphysb.2007.03.040

M3 - Article

AN - SCOPUS:34548026303

SN - 0550-3213

VL - 780

SP - 161

EP - 187

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -