Supersymmetry breaking in the three-dimensional nonlinear sigma model

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.

11 pages, 2 figures

References in corpus (7)

• Comments on operators with large spin
• Scaling function in AdS/CFT from the O(6) sigma model
• The Noncommutative Supersymmetric Nonlinear Sigma Model
• The Three-Dimensional Noncommutative Nonlinear Sigma Model in Superspace
• The Supersymmetric (2+1)D Noncommutative $C{P}^{(N-1)}$ Model in the Fundamental Representation
• Ultraviolet properties of noncommutative non-linear sigma-models in two dimensions
• Supersymmetry breaking in the three-dimensional nonlinear sigma model

Cited by in corpus (3)

• Supersymmetry breaking in the three-dimensional nonlinear sigma model
• Nielsen Identity and the Renormalization Group Functions in an Abelian Supersymmetric Chern-Simons Model in the Superfield Formalism
• Soft supersymmetry breaking in the nonlinear sigma model