Soft supersymmetry breaking in the nonlinear sigma model

TL;DR

This paper investigates how a deformed supersymmetric nonlinear sigma model in two dimensions dynamically generates mass for matter fields, with supersymmetry restored as the deformation diminishes, using the tadpole method at leading order.

Contribution

It introduces a soft supersymmetry breaking deformation in a nonlinear sigma model and analyzes the resulting dynamical mass generation using the tadpole method.

Findings

Mass is dynamically generated in the deformed model.

Supersymmetry is restored when the deformation parameter approaches zero.

The effective potential was computed at leading order in 1/N expansion.

Abstract

In this work we discuss the dynamical generation of mass in a deformed ${\cal N}=1$ supersymmetric nonlinear sigma model in a two-dimensional ($D=1+1$) space-time. We introduce the deformation by imposing a constraint that softly breaks supersymmetry. Through the tadpole method, we compute the effective potential at leading order in $1/N$ expansion showing that the model exhibit a dynamical generation of mass to the matter fields. Supersymmetry is recovered in the limit of the deformation parameter going to zero.