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Partial masslessness and conformal gravity
2013
Journal of Physics A: Mathematical and Theoretical
We use conformal, but ghostful, Weyl gravity to study its ghost-free, second derivative, partially massless (PM) spin 2 component in presence of Einstein gravity with positive cosmological constant. Specifically, we consider both gravitational-and self-interactions of PM via the fully non-linear factorization of conformal gravity's Bach tensor into Einstein times Schouten operators. We find that extending PM beyond linear order suffers from familiar higher-spin consistency obstructions: it
doi:10.1088/1751-8113/46/21/214019
fatcat:kbc4iig33ff57bjevuhlm4asxq