Various forms of BRST symmetry in Abelian 2-form gauge theory

TL;DR

This paper explores different forms of BRST symmetry in Abelian 2-form gauge theory, revealing that dual BRST symmetry is a generalized form and deriving new symmetry variants through transformations.

Contribution

It demonstrates that dual BRST symmetry is not independent but a generalization, and introduces new forms of BRST and dual-BRST symmetries via transformations.

Findings

Dual BRST symmetry is a generalized form of BRST symmetry.

New forms of BRST and dual-BRST symmetries are derived.

The approach uses Batalin-Fradkin-Vilkovisky formalism.

Abstract

We derive the various forms of BRST symmetry using Batalin-Fradkin-Vilkovisky approach in the case of Abelian 2-form gauge theory. We show that the so-called dual BRST symmetry is not an independent symmetry but the generalization of BRST symmetry obtained from the canonical transformation in the bosonic and ghost sector. We further obtain the new forms of both BRST and dual-BRST symmetry by making a general transformation in the Lagrange multipliers of the bosonic and ghost sector of the theory.