Superunitary operator and BRST transformations for non-Abelian two-form

TL;DR

This paper derives explicit (anti-)BRST symmetry transformations for non-Abelian 2-form gauge theories using superspace formalism, introduces a novel Lagrangian with matter coupling to 1- and 2-form fields, and proposes a generalization to p-form theories.

Contribution

It presents a new superspace unitary operator approach for non-Abelian 2-form gauge theories and introduces a generalized covariant derivative and Lagrangian with matter coupling.

Findings

Explicit (anti-)BRST transformations derived

New Lagrangian with matter coupling to 1- and 2-form fields

Proposal for generalization to p-form gauge theories

Abstract

Using superspace unitary operator formalism, we derive various (anti-)BRST symmetry transformations explicitly for the non-Abelian 2-form gauge theories. We introduce a new Lagrangian with a coupling of matter fields not only with 1-from background field but also with a 2-form field. Moreover, the two gauge fields couple mutually as well. A new covariant derivative involving the 2-form gauge field is introduced. We also put forth a conjecture to generalise this idea to any p-form gauge theory.