**C. Bizdadea ^{1}, E. M. Cioroianu^{2}, A. Danehkar^{3}, M.
Iordache, S. O. Saliu^{4}, S. C. Sararu^{5}**

Under some plausible assumptions, we find that the dual formulation of
linearized gravity in 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 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

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

- Contents
- 1 Introduction
- 2 The free theory: Lagrangian, gauge symmetries and BRST differential
- 3 Strategy
- 4 Standard results
- 5 Computation of first-order deformation
- 6 Computation of higher-order deformations
- 7 The coupled theory: Lagrangian and gauge structure
- 8 Some solutions to the consistency equations
- 9 Conclusion
- Acknowledgments
- A. No-go result for in
- B. No-go result for in
- C. No-go result for in
- D. No-go result for in
- E. Notations from section 6
- F. Deformed gauge structure
- Bibliography

2018-03-26