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arXiv · 1712.07586

Soft supersymmetry breaking in the nonlinear sigma model

L. Ibiapina Bevilaqua·A. C. Lehum·A. J. da Silva
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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.

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L. Ibiapina Bevilaqua, A. C. Lehum, A. J. da Silva. 2018-12-14. Soft supersymmetry breaking in the nonlinear sigma model. https://doi.org/10.1016/j.physletb.2018.12.022

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