Soft supersymmetry breaking in the nonlinear sigma model

Abstract

In this work we discuss the dynamical generation of mass in a deformed $\mathcal{N}=1$ 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.

arXiv comment9 pages, 2 figures. Revised version. arXiv admin note: text overlap with arXiv:1308.4713

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• Multifractal analysis of the symmetry of a strictly isospectral energy landscape on a square lattice