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

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

2004-02-29

arxiv.org/abs/hep-th/0403017v1

Int.J.Mod.Phys. A19 (2004) 4579-4620

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 50 pages, uses amssymb

Scientific paper

10.1142/S0217751X04018488

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).

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