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

L. G. Aldrovandi | Zendy; F Schaposnik | Zendy

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

Author(s) -

L. G. Aldrovandi,

F Schaposnik

Publication year - 2007

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Language(s) - English

Resource type - Journals

eISSN - 1550-7998

pISSN - 1550-2368

DOI - 10.1103/physrevd.76.045010

Subject(s) - chern–simons theory , higgs boson , abelian group , effective action , physics , gauge group , gauge theory , mathematical physics , vortex , order (exchange) , action (physics) , quasiparticle , moduli space , quantum mechanics , mathematics , pure mathematics , superconductivity , finance , economics , thermodynamics

Non-Abelian vortices for a supersymmetric {\cal N}=2 Chern-Simons-Higgstheory are explicitly constructed. We introduce N Higgs fields in thefundamental representation of the U(N) gauge group in order to have acolor-flavor SU(N) group remaining unbroken in the asymmetric phase.Bogomol'nyi-like first order equations are found and rotationally symmetricsolutions are proposed. These solutions are shown to be truly non-Abelian byparameterizing them in terms of orientational collective coordinates. The lowenergy effective action for the orientational moduli results to be theone-dimensional supersymmetric {\cal N}=2 CP^{N-1} model. We analyze thequantum mechanics of this effective theory in the N=2 case.Comment: CERN-PH-TH/2007-04

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