Adiabaticity and the Fate of Non-Gaussianities: The Trispectrum and
  Beyond
  Extending the analysis of [1011.4934] beyond the bispectrum, we explore the
superhorizon generation of local non-gaussianities and their subsequent
approach to adiabaticity. Working with a class of two field models of inflation
with potentials amenable to treatment with the delta N formalism we find that,
as is the case for f_{NL}^{local}, the local trispectrum parameters tau_{NL}
and g_{NL} are exponentially driven toward values which are slow roll
suppressed if the fluctuations are driven into an adiabatic mode by a phase of
effectively single field inflation. We argue that general considerations should
ensure that a similar behavior will hold for the local forms of higher point
correlations as well.
