Noncommutative N=2 Chern-Simons-matter model
Year: 2014
Type: article
Abstract: In this work we study the three-dimensional $\mathcal{N}=2$ supersymmetric Chern-Simons-matter model in a noncommutative space-time. We construct the action of the noncommutative $U(N)$ non-Abelian model in terms of explicit $\mathcal{N}=2$ supervariables by dimensionally reducing a four-dimensional $\mathcal{N}=1$ supermultiplet. We also obtain the on-shell $\mathcal{N}=2$ supersymmetric model writing it in terms of $\mathcal{N}=1$ superfields. In the noncommutative Abelian case, we show that linear UV divergences are canceled in Feynman diagrams and logarithmic divergences are absent up to one-loop order, stating that our model is free of UV/IR mixing.
Authors: L. Ibiapina Bevilaqua, A. C. Lehum
Language: Latvian
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2006723133
