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;
2007-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
