Partial Supersymmetry Breaking and N=2 U(N_c) Gauge Model with Hypermultiplets in Harmonic Superspace

TL;DR

This paper formulates an N=2 supersymmetric U(N_c) gauge model with hypermultiplets in harmonic superspace, demonstrating spontaneous partial supersymmetry breaking from N=2 to N=1.

Contribution

It provides a manifestly N=2 supersymmetric harmonic superspace formulation of a U(N_c) gauge model with hypermultiplets, extending previous models and analyzing supersymmetry breaking.

Findings

N=2 supersymmetry is spontaneously broken to N=1.

The model includes electric and magnetic Fayet-Iliopoulos terms.

Hypermultiplets in fundamental and adjoint representations are incorporated.

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.