Supersymmetric U(N) Gauge Model and Partial Breaking of N=2 Supersymmetry

TL;DR

This paper reviews the construction of an N=2 U(N) gauge model, analyzing its vacua where N=2 supersymmetry spontaneously breaks to N=1, and discusses the mass spectrum and a manifestly N=2 supersymmetric formulation.

Contribution

It introduces a manifestly N=2 supersymmetric formulation of the U(N) gauge model with hypermultiplets and analyzes the spontaneous partial breaking of N=2 to N=1 supersymmetry.

Findings

N=2 supersymmetry is spontaneously broken to N=1 on the vacua.

Gauge symmetry breaks to a product of U(N_i) groups.

Mass spectrum of supermultiplets on N=1 vacua is provided.

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 \prod_{i=1}^n U(N_i). 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.