Fractional Spin in Non-Abelian Chern-Simons Theories at the Quantum level

Abstract

Based on the quantization of constrained Hamiltonian system, the quantal conserved laws can be established under the global symmetry transformation. The application of the results to non-Abelian Chern-Simons theory, we can show that property of fractional spin is still preserved at the quantum level in the non-Abelian Chern-Simons theory.