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arXiv · 1308.4713

Supersymmetry breaking in the three-dimensional nonlinear sigma model

A. C. Lehum·A. J. da Silva
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Abstract

In this work we discuss the phase structure of a deformed supersymmetric nonlinear sigma model in a three-dimensional space-time. The deformation is introduced by a term that breaks supersymmetry explicitly, through imposing a slightly different constraint to the fundamental superfields of the model. Using the tadpole method, we compute the effective potential at leading order in 1/N expansion. From the gap equations, i.e., conditions that minimize the effective potential, we observe that this model presents two phases as the ordinary model, with two remarkable differences: 1) the fundamental fermionic field becomes massive in both phases of the model, which is closely related to the supersymmetry breaking term; 2) the O(N) symmetric phase presents a meta-stable vacuum.

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A. C. Lehum, A. J. da Silva. 2013-10-22. Supersymmetry breaking in the three-dimensional nonlinear sigma model. https://doi.org/10.1103/physrevd.88.067702

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