Non-Trivial Checks of Novel Consistency Relations
  Single-field perturbations satisfy an infinite number of consistency
relations constraining the squeezed limit of correlation functions at each
order in the soft momentum. These can be understood as Ward identities for an
infinite set of residual global symmetries, or equivalently as Slavnov-Taylor
identities for spatial diffeomorphisms. In this paper, we perform a number of
novel, non-trivial checks of the identities in the context of slow-roll single
field inflationary models with arbitrary sound speed. We focus for concreteness
on identities involving 3-point functions with a soft external mode, and
consider all possible scalar and tensor combinations for the hard-momentum
modes. In all these cases, we check the consistency relations up to and
including cubic order in the soft momentum. For this purpose, we compute for
the first time the 3-point functions involving 2 scalars and 1 tensor, as well
as 2 tensors and 1 scalar, for arbitrary sound speed.
