Non-Abelian vortices in Chern-Simons theories and their induced effective theory

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dc.creatorAldrovandi, L. G.
dc.creatorSchaposnik, F. A.
dc.date2007-02-27
dc.date.accessioned2026-07-07T11:03:15Z
dc.date.available2026-07-07T11:03:15Z
dc.descriptionNon-Abelian vortices for a supersymmetric {\cal N}=2 Chern-Simons-Higgs theory are explicitly constructed. We introduce N Higgs fields in the fundamental representation of the U(N) gauge group in order to have a color-flavor SU(N) group remaining unbroken in the asymmetric phase. Bogomol'nyi-like first order equations are found and rotationally symmetric solutions are proposed. These solutions are shown to be truly non-Abelian by parameterizing them in terms of orientational collective coordinates. The low energy effective action for the orientational moduli results to be the one-dimensional supersymmetric {\cal N}=2 CP^{N-1} model. We analyze the quantum mechanics of this effective theory in the N=2 case.
dc.descriptionCERN-PH-TH/2007-045
dc.identifierhttps://arxiv.org/abs/hep-th/0702209
dc.identifierhttp://arxiv.org/abs/hep-th/0702209
dc.identifierPhys.Rev.D76:045010,2007
dc.identifierdoi:10.1103/PhysRevD.76.045010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188529
dc.subjectHigh Energy Physics - Theory
dc.titleNon-Abelian vortices in Chern-Simons theories and their induced effective theory
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