Symmetries of the Chern-Simons Theory in the Axial Gauge, Manifold with Boundary

TL;DR

This paper demonstrates that the field equations of Chern-Simons theory in the axial gauge are fully derived from supersymmetry Ward identities and Slavnov identities, highlighting the role of topological supersymmetry without relying on an action principle.

Contribution

It reveals that the equations of Chern-Simons theory in axial gauge are determined solely by supersymmetry and Slavnov identities, bypassing the need for an action principle.

Findings

Field equations are fully determined by supersymmetry Ward identities.

Topological supersymmetry and Slavnov identities suffice to derive the theory's equations.

No action principle is necessary for the derivation.

Abstract

The field equations of the Chern-Simons theory quantized in the axial gauge are shown to be completely determined by supersymmetry Ward identities which express the invariance of the theory under the topological supersymmetry of Delduc, Gieres and Sorella together with the usual Slavnov identity without requiring any action principle.