Gauge algebra of irreducible theories in the Sp(2)-symmetric BRST formalism

TL;DR

This paper provides an explicit solution to the classical master equations within the Sp(2)-symmetric BRST formalism for irreducible gauge theories, including a construction of the observable algebra.

Contribution

It introduces a novel explicit solution to the master equations and constructs the observable algebra in the Sp(2)-symmetric BRST framework for irreducible theories.

Findings

Explicit solution to classical master equations

Construction of observable algebra

Application to irreducible gauge theories

Abstract

An explicit solution to classical master equations of the Sp(2)-symmetric Hamiltonian BRST quantization scheme is presented in the case of irreducible gauge theories. A realization of the observable algebra is constructed.