Coleman-Weinberg mechanism in a three-dimensional supersymmetric Chern-Simons-matter model

Using the superfield formalism, we study the dynamical breaking of gauge symmetry and super-conformal invariance in the N = 1 three-dimensional supersymmetric Chern-Simons model, coupled to a complex scalar superfield with a quartic self-coupling. This is an analogue of the conformally invariant Coleman-Weinberg model in four spacetime dimensions. We show that a mass for the gauge and matter superfields are dynamically generated after two-loop corrections to the effective superpotential. We also discuss the N = 2 extension of our work, showing that the Coleman-Weinberg mechanism in such model is not feasible, because it is incompatible with perturbation theory.

Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq)[303461-2009/8]

Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES)[AUX-PE-PROCAD 579/2008]

Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP)