2000/04/30 by A. A. Bichl, Andreas A Bichl, Jesper M Grimstrup +5 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1088/1126-6708/2000/07/046
published as JHEP 0007 (2000) 046 · 10 pages, 3 figures. Added loop calculation, conclusions unchanged, some references added
arxiv created 2000/05/11 · openalex publication_date 2000/07/24 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A U(N) Chern-Simons theory on noncommutative ℝ3 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 → 0.