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

Abstract

Non-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.

CERN-PH-TH/2007-045

References in corpus (1)

• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation

Cited by in corpus (12)

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• Couplings between Chern-Simons gravities and 2p-branes
• The Dynamics of Chern-Simons Vortices
• Non Abelian Chern-Simons-Higgs solutions in (2+1) dimensions
• Dyonic Non-Abelian Vortices
• Non-Abelian Vortices on the Torus
• Zero-modes of Non-Abelian Solitons in Three Dimensional Gauge Theories
• String Dynamics, Spontaneous Breaking of Supersymmetry and Dual Scalar Field Theory
• The moduli space of non-Abelian vortices in Yang-Mills-Chern-Simons-Higgs theory