BRST-anti-BRST Symmetric Conversion of Second-Class Constraints

TL;DR

This paper introduces a symmetric method for converting second-class constraints into a form compatible with BRST-anti-BRST symmetry, resulting in a pair of commuting, nilpotent charges that treat original and auxiliary variables equally.

Contribution

It presents a novel symmetric conversion technique that produces BRST and anti-BRST charges, enhancing the understanding of constraint symmetries in gauge theories.

Findings

Produces a pair of commuting, nilpotent BRST-type charges

Establishes a symmetry between original constraints and conversion variables

Provides a framework for symmetric treatment of second-class constraints

Abstract

A general method of the BRST--anti-BRST symmetric conversion of second-class constraints is presented. It yields a pair of commuting and nilpotent BRST-type charges that can be naturally regarded as BRST and anti-BRST ones. Interchanging the BRST and anti-BRST generators corresponds to a symmetry between the original second-class constraints and the conversion variables, which enter the formalism on equal footing.