Linearization of N = 2 Nonlinear Supersymmetry and Spontaneous Supersymmetry Breaking Parameters

TL;DR

This paper demonstrates a specific relation between linear and nonlinear N=2 supersymmetry formulations, showing it can be expressed using only three parameters linked to auxiliary field vacuum expectations.

Contribution

It explicitly constructs a SUSY invariant relation between linear and nonlinear N=2 SUSY components using only three parameters, connecting auxiliary fields to Nambu-Goldstone fermions.

Findings

The relation is expressed with three arbitrary parameters.

These parameters correspond to vacuum expectation values of auxiliary fields.

The approach clarifies the connection between linear and nonlinear SUSY models.

Abstract

We show explicitly by the heuristic and practical arguments that for $N = 2$ supersymmetry (SUSY) a SUSY invariant relation between component fields of a vector supermultiplet of linear SUSY and Nambu-Goldstone fermions of the Volkov-Akulov model of nonlinear SUSY is written by using only three arbitrary dimensionless parameters, which can be recasted as the vacuum expectation values of auxiliary fields in the vector supermultiplet.