A note on noncommutative Chern–Simons theories
Copyright policy )A note on noncommutative Chern–Simons theories
The three dimensional Chern-Simons theory on $\rr^2_��\times \rr$ is studied. Considering the gauge transformations under the group elements which are going to one at infinity, we show that under arbitrary (finite) gauge transformations action changes with an integer multiple of $2��$ {\it if}, the level of noncommutaitive Chern-Simons is {\it quantized}. We also briefly discuss the case of the noncommutaitve torus and some other possible extensions.
Latex file, 15 pages, no figures, v3: one reference added, typos in references fixed
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Noncommutative geometry methods in quantum field theory, FOS: Physical sciences, quantization, gauge transformations, Yang-Mills and other gauge theories in quantum field theory, noncommutative torus
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Noncommutative geometry methods in quantum field theory, FOS: Physical sciences, quantization, gauge transformations, Yang-Mills and other gauge theories in quantum field theory, noncommutative torus
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