Perturbative Chern-Simons theory on noncommutative Bbb R3

A U(N) Chern-Simons theory on noncommutative $\mathbb{R}^{3}$ is constructedas a $\q$-deformed field theory. The model is characterized by two symmetries:the BRST-symmetry and the topological linear vector supersymmetry. It is shownthat the theory is finite and $\q_{\m\n}$-independent at the one loop level andthat the calculations respect the restriction of the topological supersymmetry.Thus the topological $\q$-deformed Chern-Simons theory is an example of a modelwhich is non-singular in the limit $\q \to 0$.Comment: 10 pages, 3 figures. Added loop calculation, conclusions unchanged, some references adde