Interacting spin-2 fields

@article{Hinterbichler2012InteractingSF,
  title={Interacting spin-2 fields},
  author={Kurt Hinterbichler and Rachel A. Rosen},
  journal={Journal of High Energy Physics},
  year={2012},
  volume={2012},
  pages={1-34}
}
A bstractWe construct consistent theories of multiple interacting spin-2 fields in arbitrary spacetime dimensions using a vielbein formulation. We show that these theories have the additional primary constraints needed to eliminate potential ghosts, to all orders in the fields, and to all orders beyond any decoupling limit. We postulate that the number of spin-2 fields interacting at a single vertex is limited by the number of spacetime dimensions. We then show that, for the case of two spin-2… 
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