On the consistency of the three-dimensional noncommutative supersymmetric Yang-Mills theory

Abstract

We study the one-loop quantum corrections to the U(N) noncommutative supersymmetric Yang-Mills theory in three spacetime dimensions (NCSYM${}_3$). We show that the cancellation of the dangerous UV/IR infrared divergences only takes place in the fundamental representation of the gauge group. Furthermore, in the one-loop approximation, the would be subleading UV and UV/IR infrared divergences are shown to vanish.

arXiv comment8 pages and 2 figures

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Cited by in corpus (10)

• The three-dimensional non-anticommutative superspace
• Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential
• On the finiteness of the noncommutative supersymmetric Maxwell-Chern-Simons theory
• The Supersymmetric (2+1)D Noncommutative $C{P}^{(N-1)}$ Model in the Fundamental Representation
• Lorentz symmetry breaking in the noncommutative Wess-Zumino model: One loop corrections
• Perturbative finiteness of the three-dimensional Susy QED to all orders
• Supersymmetric non-Abelian noncommutative Chern-Simons theory
• All-loop finiteness of the two-dimensional noncommutative supersymmetric gauge theory
• Non-Commutative (Softly Broken) Supersymmetric Yang-Mills-Chern-Simons
• Twisted Supersymmetry in a Deformed Wess-Zumino Model in (2+1) Dimensions