2007/02/27 by L. G. Aldrovandi, F. A. Schaposnik, F Schaposnik · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Physics of Superconductivity and Magnetism #hep-th
paper · pdf · doi:10.1103/physrevd.76.045010
published as Phys.Rev.D76:045010,2007 · CERN-PH-TH/2007-045
arxiv created 2007/02/27 · openalex publication_date 2007/08/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
Non-Abelian vortices for a supersymmetric 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 parametrizing them in terms of orientational collective coordinates. The low-energy effective action for the orientational moduli results to be the one-dimensional supersymmetric N=2 CP^N\ensuremath-1 model. We analyze the quantum mechanics of this effective theory in the N=2 case.