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

C. C. Ciobirca·E. M. Cioroianu·S. O. Saliu
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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).

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C. C. Ciobirca, E. M. Cioroianu, S. O. Saliu. 2004-02-29. Cohomological BRST aspects of the massless tensor field with the mixed symmetry (k,k). https://doi.org/10.1142/s0217751x04018488

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