Five-dimensional couplings between a BF model and a massless tensor field with the mixed symmetry (2,1). A cohomological approach

All consistent interactions in D=5 that can be added to a free model that describes a massless tensor field with the mixed symmetry (2,1) and an abelian BF theory with a maximal field spectrum are constructed by means of deforming the solution to the master equation on behalf of specific cohomological techniques. Under the hypotheses of analyticity in the coupling constant, spacetime locality, Lorentz covariance, and Poincaré invariance, supplemented by the derivative order assumption, we obtain nontrivial interactions, which lead to a deformed gauge algebra and deformed, on-shell reducibility relations. PACS numbers: 11.10.Ef, 11.15.-q