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Abstract
We explicitly carry out the renormalization of non-abelian Chern-Simons field theories with matter in (2 + 1) dimensions. All the renormalization constants are calculated to the leading two-loop order both in terms of component fields and N = 1 superfields for the fundamental representation of the SU( n), Sp( n) and SO( n) groups. Renormalization-group fixed points are found, and their stability properties are examined. It is shown that the N = 2 supersymmetry is realized as an infrared fixed-point solution, where the ultraviolet divergencies cancel.
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