Noncommutative supersymmetric Chern-Simons-matter model

TL;DR

This paper evaluates the Kahlerian effective superpotential in a noncommutative supersymmetric Chern-Simons-matter model, demonstrating spontaneous gauge symmetry breaking and mass generation at two-loop order without breaking supersymmetry.

Contribution

It provides the first two-loop calculation of the Kahlerian effective superpotential in a noncommutative supersymmetric Chern-Simons-matter model, revealing symmetry breaking phenomena.

Findings

Spontaneous gauge symmetry breaking occurs at two-loop order.

Masses are generated for scalar and gauge superfields.

Supersymmetry remains unbroken by radiative corrections.

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.