Irreducible Hamiltonian BRST approach to topologically coupled abelian forms

TL;DR

This paper develops an irreducible Hamiltonian BRST framework for topologically coupled p- and (p+1)-form gauge theories, enabling covariant path integral formulations and simplifying the analysis of such models.

Contribution

It introduces an irreducible Hamiltonian first-class model for topologically coupled forms, making the BRST analysis more straightforward and covariant.

Findings

Constructed an irreducible Hamiltonian first-class model

Achieved a Lorentz covariant path integral formulation

Established equivalence with the original redundant theory

Abstract

An irreducible Hamiltonian BRST approach to topologically coupled p- and (p+1)-forms is developed. The irreducible setting is enforced by means of constructing an irreducible Hamiltonian first-class model that is equivalent from the BRST point of view to the original redundant theory. The irreducible path integral can be brought to a manifestly Lorentz covariant form.