  We characterize graviton non-Gaussianities in models of inflation where de
Sitter boosts are spontaneously broken. We discuss which of the symmetry
breaking patterns studied in Nicolis et al., 2015 can sustain a period of quasi
de Sitter expansion, and show that the symmetry breaking pattern of Solid
Inflation allows the most freedom for graviton interactions. We comment on the
phenomenological consequences of some of these interactions. As a byproduct of
this analysis we construct the "EFT of Solid Inflation", which has all the
useful features of the EFT of Inflation but for the case of broken spatial
diffeomorphisms.
