Soft supersymmetry breaking in the nonlinear sigma model

Abstract

In this work we discuss the dynamical generation of mass in a deformed 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.