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 systern 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 (v1)-> H (v2)-> 1, under an unbroken, exact color-flavor diagonal symmetry HC+F similar to (H) over tilde. The transformation property among the regular monopoles characterized by pi(2)(G/H), follows from that among the nonAbelian vortices with flux quantized according to pi, (H), via the isomorphism pi(1)(G) similar to pi(1)(H)/pi(2)(G/H). Our idea is tested against the concrete model s-softly-broken 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 center dot) v(2) similar to Lambda). (c) 2007 Elsevier B.V. All rights reserved.

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

KONISHI, KENICHI;
2007

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 systern 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 (v1)-> H (v2)-> 1, under an unbroken, exact color-flavor diagonal symmetry HC+F similar to (H) over tilde. The transformation property among the regular monopoles characterized by pi(2)(G/H), follows from that among the nonAbelian vortices with flux quantized according to pi, (H), via the isomorphism pi(1)(G) similar to pi(1)(H)/pi(2)(G/H). Our idea is tested against the concrete model s-softly-broken 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 center dot) v(2) similar to Lambda). (c) 2007 Elsevier B.V. All rights reserved.
Eto, M; Ferretti, L; Konishi, Kenichi; Marmorini, G; Nitta, M; Ohashi, K; Vinci, W; Yokoi, N.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/117624
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 70
social impact