Partial supersymmetry breaking and N=2 U (N-c) gauge model with hypermultiplets in harmonic superspace

摘要

We provide a manifestly N = 2 supersymmetric formulation of the M = 2 U(N-c) gauge model constructed in terms of N = I 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,) 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 M = 2 supersymmetry is spontaneously broken down to N = 1. (c) 2006 Elsevier B.V. All rights reserved.