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

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 fir...

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Detalles Bibliográficos
Autores principales: Aldrovandi, León Gabriel, Schaposnik, Fidel Arturo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2007
Materias:
Física
Effective action
Quantum field theory
Supersymmetry
Moduli
Physics
Chern–simons theory
Effective field theory
Gauge group
Order (ring theory)
Mathematical physics
Quantum mechanics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126815
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
Descripción
Sumario: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 parameterizing 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 − 1 model. We analyze the quantum mechanics of this effective theory in the N = 2 case.

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