English

Soft supersymmetry breaking in the nonlinear sigma model

High Energy Physics - Theory 2018-12-18 v2

Abstract

In this work we discuss the dynamical generation of mass in a deformed N=1{\cal N}=1 supersymmetric nonlinear sigma model in a two-dimensional (D=1+1D=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/N1/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.

Keywords

Cite

@article{arxiv.1712.07586,
  title  = {Soft supersymmetry breaking in the nonlinear sigma model},
  author = {L. Ibiapina Bevilaqua and A. C. Lehum and A. J. da Silva},
  journal= {arXiv preprint arXiv:1712.07586},
  year   = {2018}
}

Comments

9 pages, 2 figures. Revised version. arXiv admin note: text overlap with arXiv:1308.4713

R2 v1 2026-06-22T23:24:53.058Z