  Many different models of inflation give rise to the same effective field
theory of the inflaton. While effective field theories in flat space provide
little information about UV physics, we propose that in inflationary
backgrounds a large amount of information can be encoded by the initial
conditions of the effective theory. We identify conditions under which this
information remains available at late times, e.g. through observation of
non-Gaussianities, and introduce a simple model of initial conditions where
these conditions are satisfied.
