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arxiv: 1712.07586 · v2 · pith:3OL6BPY6new · submitted 2017-12-19 · ✦ hep-th

Soft supersymmetry breaking in the nonlinear sigma model

classification ✦ hep-th
keywords modelsupersymmetrydeformationdynamicalgenerationmassnonlinearsigma
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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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