European Physical Journal C 63: 491-519 (2009)
doi: 10.1140/epjc/s10052-009-1105-0

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. Săraru⁵
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.

PACS number: 11.10.Ef

Keywords: consistent interactions, linearized gravity, topological field theories, local BRST cohomology

Footnotes

... Bizdadea¹

E-mail address: bizdadea @ central . ucv . ro

... Cioroianu²

E-mail address: manache @ central . ucv . ro

... Danehkar³

Present address: School of Mathematics and Physics, Queen's University, Belfast BT7 1NN, UK. E-mail address: adanehkar01 @ qub . ac . uk

... Saliu⁴

E-mail address: osaliu @ central . ucv . ro

...ăraru⁵

E-mail address: scsararu @ central . ucv . ro