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.
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Bizdadea, C., Cioroianu, E.M., Danehkar, A. et al. Consistent interactions of dual linearized gravity in D=5: couplings with a topological BF model. Eur. Phys. J. C 63, 491–519 (2009). https://doi.org/10.1140/epjc/s10052-009-1105-0
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DOI: https://doi.org/10.1140/epjc/s10052-009-1105-0