Consistent interactions of dual linearized gravity in D=5: couplings with a topological BF model

TL;DR

This paper explores how dual linearized gravity in five dimensions can be consistently coupled with a topological BF model, leading to deformed gauge structures and new gauge transformations.

Contribution

It introduces a novel consistent coupling between dual linearized gravity and a topological BF model in five dimensions, revealing deformed gauge algebra and reducibility relations.

Findings

Deformed gauge algebra in the coupled theory

Shift gauge transformations for the (2,1) tensor field

Nontrivial interactions between gravity and BF sectors

Abstract

Under some plausible assumptions, we find that the dual formulation of linearized gravity in D=5 can be nontrivially coupled to the topological BF model in such a way that the interacting theory exhibits a deformed gauge algebra and some deformed, on-shell reducibility relations. Moreover, the tensor field with the mixed symmetry (2,1) gains some shift gauge transformations with parameters from the BF sector.