On the space of non-Gaussian fields with single-clock bispectra
  We develop a mathematical construction of non-Gaussian fields whose bispectra
satisfy the single-clock inflation consistency relation. At the same order that
our basis for bispectra recovers the two simplest single clock templates, we
also find a third orthogonal template which has the single clock squeezed
limit, peaks in folded configurations, and has very small coupling in the
equilateral limit. We explore the map between templates and operators in a very
general Lagrangian for single-clock fluctuations and find no significant
overlap between the new template and models in the literature. We comment on
the physical implications of this conclusion. Our findings add support for the
idea that both theory and data driven considerations will be best served if
next generation non-Gaussianity constraints are made in a basis that uses the
degree of coupling between long and short wavelength modes as an organizing
principle.
