Chapline-Manton interaction vertices and Hamiltonian BRST cohomology

TL;DR

This paper uses Hamiltonian BRST cohomology to derive consistent interaction vertices between Yang-Mills fields and an abelian 2-form, revealing how the gauge structure is deformed by the interaction.

Contribution

It demonstrates that the Hamiltonian cohomological approach can systematically derive Yang-Mills Chern-Simons interactions and analyze their impact on gauge symmetries.

Findings

Derived the Yang-Mills Chern-Simons interaction from BRST charge deformation

Showed gauge transformations and algebra are deformed by interactions

Redundancy relations remain unaffected by the deformation

Abstract

Consistent interactions between Yang-Mills gauge fields and an abelian 2-form are investigated by using a Hamiltonian cohomological procedure. It is shown that the deformation of the BRST charge and the BRST-invariant Hamiltonian of the uncoupled model generates the Yang-Mills Chern-Simons interaction term. The resulting interactions deform both the gauge transformations and their algebra, but not the reducibility relations.