Hamiltonian cohomological derivation of four-dimensional nonlinear gauge theories

TL;DR

This paper uses Hamiltonian BRST cohomology to derive a four-dimensional nonlinear gauge theory, revealing how interactions deform constraints and gauge algebra, advancing understanding of complex gauge systems.

Contribution

It introduces a Hamiltonian cohomological approach to systematically derive four-dimensional nonlinear gauge theories with interacting scalar, one-form, and two-form fields.

Findings

Interactions deform first-class constraints

Gauge algebra and reducibility relations are modified

Provides a cohomological framework for complex gauge theories

Abstract

Consistent couplings among a set of scalar fields, two types of one-forms and a system of two-forms are investigated in the light of the Hamiltonian BRST cohomology, giving a four-dimensional nonlinear gauge theory. The emerging interactions deform the first-class constraints, the Hamiltonian gauge algebra, as well as the reducibility relations.