Abstract
We provide a manifestly N = 2 supersymmetric formulation of the N = 2 U ( N c ) gauge model constructed in terms of N = 1 superfields in hep-th/0409060. The model is composed of N = 2 vector multiplets in harmonic superspace and can be viewed as the N = 2 U ( N c ) Yang–Mills effective action equipped with the electric and magnetic Fayet–Iliopoulos terms. We generalize this gauge model to an N = 2 U ( N c ) QCD model by introducing N = 2 hypermultiplets in harmonic superspace which include both the fundamental representation of U ( N c ) and the adjoint representation of U ( N c ) . The effect of the magnetic Fayet–Iliopoulos term is to shift the auxiliary field by an imaginary constant. Examining vacua of the model, we show that N = 2 supersymmetry is spontaneously broken down to N = 1 .
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