N = 2 Supersymmetric QED equivalence of N = 2 Volkov-Akulov model

TL;DR

This paper demonstrates the equivalence between the N=2 Volkov-Akulov model and a spontaneously broken linear supersymmetric gauge theory in two-dimensional spacetime, highlighting the composite structure of auxiliary fields.

Contribution

It explicitly establishes the equivalence in d=2 between the nonlinear Volkov-Akulov model and a linear supersymmetric gauge theory with specific auxiliary field structures.

Findings

N=2 Volkov-Akulov model is equivalent to a linear SUSY gauge theory in 2D.

The gauge interaction arises from composite auxiliary fields.

The equivalence is explicitly shown in two-dimensional spacetime.

Abstract

We show explicitly in two dimensional spacetime (d = 2) that the N = 2 Volkov-Akulov model is equivalent to the spontaneously broken linear supersymmetry (LSUSY) interacting gauge theory for N = 2 vector and N = 2 scalar supermultiplets. The local gauge interaction of LSUSY is induced by the specific composite structure of the auxiliary fields and the consequent transformations.