Superfield approach to a novel symmetry for non-Abelian gauge theory

TL;DR

This paper introduces a new dual-BRST symmetry in a 2D non-Abelian gauge theory using superfield formalism, providing a geometric interpretation of the associated charges.

Contribution

It presents the discovery of a novel local, covariant, nilpotent symmetry within the superfield approach for 2D non-Abelian gauge theories, expanding the understanding of gauge symmetries.

Findings

Existence of a new dual-BRST symmetry demonstrated

Geometrical interpretation of conserved charges as translations in supermanifold

Application to a self-interacting 2D non-Abelian gauge theory

Abstract

In the framework of superfield formalism, we demonstrate the existence of a new local, covariant, continuous and nilpotent (dual-BRST) symmetry for the BRST invariant Lagrangian density of a self-interacting two ($1 + 1$)-dimensional (2D) non-Abelian gauge theory (having no interaction with matter fields). The local and nilpotent Noether conserved charges corresponding to the above continuous symmetries find their geometrical interpretation as the translation generators along the odd (Grassmannian) directions of the four ($2 + 2)$-dimensional supermanifold.