  Using Faddeev-Senjanovic path integral quantization for constrained Hamilton
system, we quantize SU(n) N=2 supersymmetric gauge field system with
non-abelian Chern-Simons topological term in 2+1 dimensions, and use
consistency of a gauge condition naturally to deduce another gauge condition.
Further, we get the generating functional of Green function in phase space,
deduce the angular momentum based on the global canonical Noether theorem at
quantum level, obtain the fractional spin of this supersymmetric system, and
show that the total angular momentum has the orbital angular momentum and spin
angular momentum of the non-abelian gauge field. Finally, we find out the
anomalous fractional spin and discover that the fractional spin has the
contributions of both the group superscript components and the A_0^s (x)
charge.
