Interactions between a massless tensor field with the mixed symmetry of the Riemann tensor and a massless vector field

Details Interactions between a massless tensor field with the mixed symmetry of the Riemann tensor and a massless vector field Interactions between a massless tensor field with the mixed symmetry of the Riemann tensor and a massless vector field

2007-05-08

arxiv.org/abs/0705.1054v1

J.Phys.A39:10549-10564,2006

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 24 pages

Scientific paper

10.1088/0305-4470/39/33/021

Consistent couplings between a massless tensor field with the mixed symmetry of the Riemann tensor and a massless vector field are analyzed in the framework of Lagrangian BRST cohomology. Under the assumptions on smoothness, locality, Lorentz covariance, and Poincare invariance of the deformations, combined with the requirement that the interacting Lagrangian is at most second-order derivative, it is proved that there are no consistent cross-interactions between a single massless tensor field with the mixed symmetry of the Riemann tensor and one massless vector field.

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