Linearizing N = 2 Nonlinear Supersymmetry

TL;DR

This paper explores the connection between linear and nonlinear N=2 supersymmetry by expressing vector supermultiplet components in terms of Nambu-Goldstone fermions and discussing the relation between their actions.

Contribution

It provides a method to linearize N=2 nonlinear SUSY models by explicitly relating supermultiplet components to Nambu-Goldstone fermions.

Findings

Component fields expressed in terms of Nambu-Goldstone fermions

Explicit demonstration of the vector nature of the U(1) gauge field

Discussion of the relation between linear and nonlinear SUSY actions

Abstract

We investigate for the N = 2 supersymmetry (SUSY) a relation between a vector supermultiplet of the linear SUSY and the Volkov-Akulov model of the nonlinear SUSY. We express component fields of the vector supermultiplet in terms of Nambu-Goldstone fermion fields at the leading orders in a SUSY invariant way, and show the vector nature of the U(1) gauge field explicitly. A relation of the actions for the two models is also discussed briefly.