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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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 $\q \to 0$. |
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DOI: | 10.48550/arxiv.hep-th/0004071 |