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

C. Bizdadea¹, E. M. Cioroianu², A. Danehkar³, M. Iordache, S. O. Saliu⁴, S. C. Sararu⁵
Faculty of Physics, University of Craiova, 13 Al. I. Cuza Str., Craiova 200585, Romania

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.
 
Keywords: consistent interactions, linearized gravity, topological field theories, local BRST cohomology
 
PACS Nos.: 911.10.Ef
 
Journal Reference: C. Bizdadea, E. M. Cioroianu, A. Danehkar, M. Iordache, S. O. Saliu, and S. C. Sararu. The European Physical Journal C (Particles and Fields), 63:491-519, 2009. doi:10.1140/epjc/s10052-009-1105-0