Perturbative Chern-Simons theory on non-commutative R-3

Authors
Bichl, AA Grimstrup, JM Putz, V Schweda, M
Citation
Aa. Bichl et al., Perturbative Chern-Simons theory on non-commutative R-3, J HIGH EN P, 2000(7), 2000, pp. NIL_1074-NIL_1085
Citations number
18
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Volume
2000
Issue
7
Year of publication
2000
Pages
NIL_1074 - NIL_1085
Database
ISI
SICI code
1029-8479(200007)2000:7<NIL_1074:PCTONR>2.0.ZU;2-T
Abstract
A U(N) Chern-Simons theory on non-commutative R-3 is constructed as a theta -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 theta -independent at the one-loop level and that the calculations respect the restriction of the topological supersymme try. Thus the topological theta -deformed Chern-Simons theory is an example of a model which is non singular in the limit theta --> 0.