The paper derives explicit minimal cubic vertices coupling partially massless spin-2 to massless and specially-massive spin-3/2 fields, with one case requiring higher-derivative terms.
Nonlinear Partially Massless from Massive Gravity?
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abstract
We show that consistent nonlinear Partially Massless models cannot be obtained starting from "f-g" massive gravity, with "f" the embedding de Sitter space. The obstruction, which is also the source of f-g acausality, is the very same fifth constraint that removes the notorious sixth ghost excitation. Here, however, it blocks extension of the mass to cosmological background tuned gauge invariance that took away the helicity zero mode at linear level. Separately, our methods allow us to almost complete the class of acausal f-g models.
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Partially massless spin 2 and supersymmetry
The paper derives explicit minimal cubic vertices coupling partially massless spin-2 to massless and specially-massive spin-3/2 fields, with one case requiring higher-derivative terms.