Matter couplings in partially broken extended supersymmetry

TL;DR

This paper employs nonlinear realizations to analyze the spontaneous breaking of N=2 to N=1 supersymmetry in four dimensions, identifying the Goldstone multiplet and exploring matter couplings without mirror particles.

Contribution

It demonstrates that chiral N=1 matter can be consistently coupled in partially broken N=2 supersymmetry without requiring mirror particles.

Findings

Goldstone multiplet identified as N=1 chiral superfield

Chiral matter can be in any gauge representation

Presented Goldstone action and matter couplings at leading order

Abstract

We use nonlinear realizations to describe the spontaneous breaking of $N=2$ supersymmetry to $N=1$ in four dimensions. We identify the Goldstone multiplet with an $N=1$ chiral superfield, and show that chiral $N=1$ matter is consistent with the partially broken $N=2$ supersymmetry. We find that the chiral matter can be in any representation of the gauge group; no mirror particles are required. We present the Goldstone action and the general couplings to $N=1$ matter to the first nontrivial order in the scale of symmetry breaking.