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

Abstract

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.

arXiv commentLaTeX, 24 pages

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Cited by in corpus (3)

• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields
• Consistent interactions of dual linearized gravity in D=5: couplings with a topological BF model