Cohomological BRST aspects of the massless tensor field with the mixed symmetry (k,k)

Abstract

The main BRST cohomological properties of a free, massless tensor field that transforms in an irreducible representation of GL(D,R), corresponding to a rectangular, two-column Young diagram with k>2 rows are studied in detail. In particular, it is shown that any non-trivial co-cycle from the local BRST cohomology group H(s|d) can be taken to stop either at antighost number (k+1) or k, its last component belonging to the cohomology of the exterior longitudinal derivative H(gamma) and containing non-trivial elements from the (invariant) characteristic cohomology H^{inv}(delta|d).

arXiv commentLatex, 50 pages, uses amssymb

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Cited by in corpus (12)

• Geometric Formulation for Partially Massless Fields
• Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimentions
• BRST approach to Lagrangian construction for fermionic massless higher spin fields
• Duality for massive spin two theories in arbitrary dimensions
• Couplings between a single massless tensor field with the mixed symmetry (3,1) and one vector field
• Consistent interactions of dual linearized gravity in D=5: couplings with a topological BF model
• No cross-interactions among different tensor fields with the mixed symmetry (3,1) intermediated by a vector field
• Gauge-invariant massive BF models
• Interactions between a massless tensor field with the mixed symmetry of the Riemann tensor and a massless vector field
• Aspects of electric-magnetic dualities in maximal supergravity
• A novel mass generation scheme for an Abelian vector field
• Yes-go cross-couplings in collections of tensor fields with mixed symmetries of the type (3,1) and (2,2)