Looking for partially-massless gravity

@article{Joung2019LookingFP,
  title={Looking for partially-massless gravity},
  author={E. Joung and K. Mkrtchyan and G. Poghosyan},
  journal={arXiv: High Energy Physics - Theory},
  year={2019}
}
We study the possibility for a unitary theory of partially-massless (PM) spin-two field interacting with Gravity in arbitrary dimensions. We show that the gauge and parity invariant interaction of PM spin two particles requires the inclusion of specific massive spin-two fields and leads to a reconstruction of Conformal Gravity, or multiple copies of the latter in even dimensions. By relaxing the parity invariance, we find a possibility of a unitary theory in four dimensions, but this theory… Expand
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