Vector supersymmetry and finite quantum correction of Chern–Simons theory in the light-cone gauge

Vector supersymmetry is shown to exist also in light-cone gauge Chern–Simons theory. Using a gauge invariant regularization scheme, we demonstrate explicitly that the finite quantum correction to the coupling constant of Chern–Simons theory is intimately associated with the breaking of vector supersymmetry at the regularization level. The advantage of investigating such a quantum phenomenon in the light-cone gauge is emphasized and the BRST and vector supersymmetry invariance of quantum effective action is discussed.