Four-dimensional couplings among BF and massless Rarita-Schwinger theories: a BRST cohomological approach

TL;DR

This paper develops a cohomological method to construct covariant interactions in four-dimensional theories coupling massless Rarita-Schwinger and Abelian BF fields, expanding understanding of their possible interactions.

Contribution

It introduces a BRST cohomological approach to systematically derive consistent local interactions between these theories in four dimensions.

Findings

Constructed covariant interaction terms using cohomological techniques

Identified conditions for consistent couplings in the combined theories

Extended the framework for analyzing gauge theory interactions

Abstract

The local and manifestly covariant Lagrangian interactions in four spacetime dimensions that can be added to a free model that describes a massless Rarita-Schwinger theory and an Abelian BF theory are constructed by means of deforming the solution to the master equation on behalf of specific cohomological techniques.