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Perturbative Chern-Simons Theory on Noncommutative R^3

A. A. Bichl·J. M. Grimstrup·V. Putz·M. Schweda
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Abstract

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 $\q \to 0$.

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A. A. Bichl, J. M. Grimstrup, V. Putz, M. Schweda. 2000-05-11. Perturbative Chern-Simons Theory on Noncommutative R^3. https://doi.org/10.1088/1126-6708%2F2000%2F07%2F046

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