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arXiv · 1202.4965

Noncommutative supersymmetric Chern-Simons-matter model

A. C. Lehum
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Abstract

Using the superfield formalism and implementing the canonical noncommutativity, the Kahlerian effective superpotential is evaluated in the three-dimensional noncommutative supersymmetric Chern--Simons-matter model at the two-loop order. The computation of the Kahlerian effective superpotential is enough to determine whether the model can exhibit spontaneous (super) symmetry breaking. It is shown that the model possesses a spontaneous gauge symmetry broken phase, generating masses for the scalar and gauge superfields at the two-loop order. Just as for the commutative version, in the noncommutative case the supersymmetry cannot be broken by radiative corrections via the Coleman-Weinberg mechanism.

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A. C. Lehum. 2012-06-20. Noncommutative supersymmetric Chern-Simons-matter model. https://doi.org/10.1103/physrevd.85.125020

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