Perturbative Chern-Simons Theory on Noncommutative R^3

JHEP 0007 (2000) 046 A U(N) Chern-Simons theory on noncommutative $\mathbb{R}^{3}$ is constructed as a $\q$-deformed field theory. The model is characterized by two symmetries: the BRST-symmetry and the topological linear vector supersymmetry. It is shown that the theory is finite and $\q_{\m\n}$-in...

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Hauptverfasser: Bichl, A. A, Grimstrup, J. M, Putz, V, Schweda, M
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Sprache:eng
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Zusammenfassung:JHEP 0007 (2000) 046 A U(N) Chern-Simons theory on noncommutative $\mathbb{R}^{3}$ is constructed as a $\q$-deformed field theory. The model is characterized by two symmetries: the BRST-symmetry and the topological linear vector supersymmetry. It is shown that the theory is finite and $\q_{\m\n}$-independent at the one loop level and that the calculations respect the restriction of the topological supersymmetry. Thus the topological $\q$-deformed Chern-Simons theory is an example of a model which is non-singular in the limit $\q \to 0$.
DOI:10.48550/arxiv.hep-th/0004071