The Symmetries in Chern-Simons Theory Coupled to Matter Fields

Chern-Simons theory coupled to a complex scalar field is quantized in the path integral formalism. Based on the symmetries of a constrained canonical (Hamiltonian) system, we get the quantal conserved angular momentum of the system under the global symmetry transformation. It is shown that fractional spin also appears at the quantum level and it coincides with results obtained through symmetric energy-momentum tensor.