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

TL;DR

This paper constructs a nonabelian U(N) gauge model with N=2 supersymmetry that spontaneously breaks to N=1, extending previous abelian models and exploring the structure of supercurrents and broken supersymmetry.

Contribution

It introduces a new nonabelian U(N) gauge model with spontaneous N=2 to N=1 supersymmetry breaking, generalizing prior abelian models and analyzing supercurrent complexities.

Findings

Successful construction of a U(N) invariant nonabelian gauge model

Identification of supercurrent structures related to broken supersymmetry

Discussion of supersymmetry breaking as an approximate fermionic shift

Abstract

Guided by the gauging of U(N) isometry associated with the special Kahler geometry, and the discrete R symmetry, we construct the N=2 supersymmetric action of a U(N) invariant nonabelian gauge model in which rigid N=2 supersymmetry is spontaneously broken to N=1. This generalizes the abelian model considered by Antoniadis, Partouche and Taylor. We shed light on complexity of the supercurrents of our model associated with a broken N=2 supermultiplet of currents, and discuss the spontaneously broken supersymmetry as an approximate fermionic shift symmetry.