INTERACTIONS BETWEEN A MASSLESS TENSOR FIELD WITH THE MIXED SYMMETRY (2,2) AND A TWO-FORM GAUGE FIELD
Pages 50-57
C. Bizdadea, C. C. Ciobirca, I. Negru, S. O. Saliu
Abstract
The consistent interactions between a single, free, massless tensor gauge field with the mixed symmetry of the
Riemann tensor and a massless two-form gauge field are investigated in the framework of the BRST
formalism combined with cohomological techniques. Under the assumptions on smoothness, locality, Lorentz
covariance, and Poincar ec invariance of the deformations, supplemented by the requirement that the
interacting Lagrangian is at most second-order derivative, it is proved that there are no consistent crossinteractions
between the tensor field with the mixed symmetry of the Riemann tensor and the massless twoform
gauge field.