Vector Supersymmetry and Finite Quantum Correction of Chern-Simons Theory in the Light-Cone Gauge

TL;DR

This paper demonstrates the existence of vector supersymmetry in light-cone gauge Chern-Simons theory and links finite quantum corrections to the breaking of this symmetry during regularization.

Contribution

It reveals the presence of vector supersymmetry in light-cone gauge Chern-Simons theory and connects quantum corrections to symmetry breaking at the regularization stage.

Findings

Finite quantum correction is linked to vector supersymmetry breaking.

Gauge invariant regularization preserves BRST invariance.

Light-cone gauge offers advantages for analyzing quantum phenomena.

Abstract

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.