Supersimetrização do modelo Maxwell-Chern-Simons-Higgs com interacões de momento magnético anômalo

Abstract

We construct a supersymmetric extension of the Maxwell-Chern-Simons-Higgs model supplemented by a Pauli-type coupling, i. e., an anomalous magnetic moment coupling. This supersymmetrization is presented in the superspace formalism as much as in fields components one. For a specific choice of the coupling constant a pure Chern-Simons limit is achieved, even in the presence of a Maxwell term. This can open a possibility of a new description of the supersymmetric anyons. Conditions to obtain a N=2 supersymmetric version of the Abelian Higgs model and Chern-Simons-Higgs model as well as their Bogomol'nyi equations are reproduced. The theory with a spontaneous broken U(1) symmetry presents a Chern-Simons and a Maxwell term generation. Also appears a critical value (g2 = 4α/v2) for which the gauge field is not more dynamical. To another critical value (g = κ/ev2) the Chern-Simons term vanishes. In the symmetry broken phase the inclusion of the anomalous magnetic moment in the theory leads to the rising of a propagation term to fotino, on the contrary of the usual models where the fotino is an auxiliary field.