Supersymmetric U (N) gauge model and partial breaking of N = 2 supersymmetry

Abstract

We review the construction of the N = 2 U(N) gauge model and the analysis of vacua of the model. On the vacua, N = 2 supersymmetry is spontaneously broken to N = 1, and the gauge symmetry is broken to a product gauge group Πi=1n U (Ni). The masses of the supermultiplets appearing on the N = 1 vacua are given. We provide a manifestly N= 2 supersymmetric formulation of the U(N) gauge model coupled with N = 2 hypermultiplets, and show that N = 2 supersymmetry is partially broken down to N = 1 spontaneously.