Lagrangian Sp(3) BRST symmetry for irreducible gauge theories

TL;DR

This paper develops an extended Sp(3) BRST symmetry framework for irreducible gauge theories using homological perturbation theory, introducing a gauge-fixing method that maintains invariance under multiple differentials.

Contribution

It constructs the Lagrangian Sp(3) BRST symmetry within the homological perturbation theory framework and provides a gauge-fixing procedure compatible with this extended symmetry.

Findings

Existence of a canonical generator for the extended symmetry

A gauge-fixing method preserving invariance under all three differentials

Framework applicable to irreducible gauge theories

Abstract

The Lagrangian Sp(3) BRST symmetry for irreducible gauge theories is constructed in the framework of homological perturbation theory. The canonical generator of this extended symmetry is shown to exist. A gauge-fixing procedure specific to the standard antibracket-antifield formalism, that leads to an effective action, which is invariant under all the three differentials of the Sp(3) algebra, is given.