On Yukawa and mass terms in nonlinear supersymmetry equivalent renormarizable theory

TL;DR

This paper demonstrates that in two dimensions, the nonlinear N=2 supersymmetric Volkov-Akulov model is equivalent to a renormalizable, spontaneously broken linear N=2 SUSY theory with Yukawa interactions and mass terms.

Contribution

It explicitly establishes the equivalence between nonlinear and linear N=2 SUSY models in two dimensions, including Yukawa and mass terms, using SUSY invariant relations.

Findings

Nonlinear N=2 SUSY model is equivalent to a linear, renormalizable theory in D=2.

The linear theory includes Yukawa interactions and mass terms.

The equivalence is shown explicitly using SUSY invariant relations.

Abstract

We show explicitly in D = 2 that N = 2 nonlinear supersymmetric (SUSY) Volkov-Akulov model is equivalent to a spontaneously broken N = 2 linear SUSY interacting theory containing the ordinary Yukawa interactions and mass terms, which is renormalizable, by using SUSY invariant relations.