Generalized couplings between an Abelian $p$-form and a (3,1) mixed symmetry tensor field
Abstract
Description
The consistent interactions between a single, free, massless tensor gauge field with the mixed symmetry $(3,1)$ and an Abelian $p$-form are investigated in the framework of the BRST formalism combined with cohomological techniques. Under the assumptions on smoothness, locality, Lorentz covariance, and Poincaré invariance of the deformations, supplemented by the requirement that the interacting Lagrangian is at most second-order derivative, it is proved that for every value $p\geq 1$ of the form degree there are consistent couplings between the Abelian form and the massless $(3,1)$ gauge field.
24 pages; some minor typos corrected
24 pages; some minor typos corrected