2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55605We study a three-dimensional symmetric Chern-Simons field theory with a general covariance and it turns out that the original Chern-Simons theory is just a gauge fixed action of the symmetric Chern-Simons theory whose constraint algebra belongs to fully first class constraint system. The Abelian Chern-Simons theory with matter coupling is studied for the construction of anyon operators without any ordering ambiguity with the help of this symmetric Chern-Simons action. Finally we shall discuss some connections between the present symmetric formulation of Chern-Simons theory and the Stükelberg mechanism.19 pages, revtex, one paragraph is replaced with other issue and physical application is exhibitedHigh Energy Physics - Theorytext