Four-dimensional couplings among BF and matter theories from BRST cohomology

TL;DR

This paper develops a cohomological method to construct covariant interactions in four-dimensional models combining matter and BF theories, expanding the understanding of gauge theory couplings.

Contribution

It introduces a systematic cohomological approach to derive local covariant couplings between matter and BF theories in four dimensions.

Findings

Constructed explicit covariant interaction terms

Demonstrated the method's applicability to generic matter theories

Enhanced the theoretical framework for gauge theory couplings

Abstract

The local and manifestly covariant Lagrangian interactions in four spacetime dimensions that can be added to a ``free'' model that describes a generic matter theory and an abelian BF theory are constructed by means of deforming the solution to the master equation on behalf of specific cohomological techniques.