Consistent interactions of dual linearized gravity in D=5: couplings with a topological BF model

Abstract

Under some plausible assumptions, we find that the dual formulation of linearized gravity in D=5 can be nontrivially coupled to the topological BF model in such a way that the interacting theory exhibits a deformed gauge algebra and some deformed, on-shell reducibility relations. Moreover, the tensor field with the mixed symmetry (2,1) gains some shift gauge transformations with parameters from the BF sector.

63 pages, accepted for publication in Eur. Phys. J. C

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• Yes-go cross-couplings in collections of tensor fields with mixed symmetries of the type (3,1) and (2,2)