BRST cohomological results on the massless tensor field with the mixed symmetry of the Riemann tensor

Abstract

The basic BRST cohomological properties of a free, massless tensor field with the mixed symmetry of the Riemann tensor are studied in detail. It is shown that any non-trivial co-cycle from the local BRST cohomology group can be taken to stop at antighost number three, its last component belonging to the cohomology of the exterior longitudinal derivative and containing non-trivial elements from the (invariant) characteristic cohomology.

39 pages

References in corpus (3)

• Tensor gauge fields in arbitrary representations of GL(D,R) : duality & Poincare lemma
• Free geometric equations for higher spins
• Exotic tensor gauge theory and duality

Cited by in corpus (5)

• Gauge-invariant massive BF models
• Interactions between a massless tensor field with the mixed symmetry of the Riemann tensor and a massless vector field
• Couplings of a collection of BF models to matter theories
• Dual linearized gravity in D=6 coupled to a purely spin-two field of mixed symmetry (2,2)
• Yes-go cross-couplings in collections of tensor fields with mixed symmetries of the type (3,1) and (2,2)