Self-interactions in a topological BF-type model in D=5

TL;DR

This paper investigates all consistent local interactions that can be added to a free topological BF-type model in five dimensions, using cohomological methods to ensure physical and mathematical consistency.

Contribution

It provides a comprehensive classification of possible interactions in a five-dimensional BF-type model, extending the understanding of topological field theories.

Findings

Identifies all consistent interaction terms compatible with symmetries and invariances.

Ensures interactions preserve the number of derivatives per field.

Uses cohomological techniques to systematically derive couplings.

Abstract

All consistent interactions in five spacetime dimensions that can be added to a free BF-type model involving one scalar field, two types of one-forms, two sorts of two-forms, and one three-form are investigated by means of deforming the solution to the master equation with the help of specific cohomological techniques. The couplings are obtained on the grounds of smoothness, locality, (background) Lorentz invariance, Poincar\'{e} invariance, and the preservation of the number of derivatives on each field.