Noncommutative supersymmetric Chern-Simons-matter model

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.

13 pages, 3 figures, PRD version

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Cited by in corpus (5)

• Supergauge theories in aether superspace
• On the effective superpotential in the supersymmetric Chern-Simons theory with matter
• On the effective superpotential in the generic higher-derivative superfield supersymmetric three-dimensional gauge theory
• Derivative expansion and the induced Chern-Simons term in N=1, d=3 superspace
• Dynamical generation of mass in the noncommutative supersymmetric Schwinger model