Two-dimensional interactions between a BF-type theory and a collection of vector fields

TL;DR

This paper develops a cohomological deformation method to introduce consistent interactions into a two-dimensional BF-type gauge theory coupled with vector fields, altering its action, gauge symmetry, and algebra.

Contribution

It presents a novel cohomological approach to systematically construct consistent interactions in two-dimensional BF-type models coupled with vector fields.

Findings

Constructed explicit interaction terms for the model.

Modified gauge transformations and algebra.

Provided a systematic deformation procedure.

Abstract

Consistent interactions that can be added to a two-dimensional, free abelian gauge theory comprising a special class of BF-type models and a collection of vector fields are constructed from the deformation of the solution to the master equation based on specific cohomological techniques. The deformation procedure modifies the Lagrangian action, the gauge transformations, as well as the accompanying algebra of the interacting model.