Constraints from Conformal Symmetry on the Three Point Scalar Correlator
  in Inflation
  Using symmetry considerations, we derive Ward identities which relate the
three point function of scalar perturbations produced during inflation to the
scalar four point function, in a particular limit. The derivation assumes
approximate conformal invariance, and the conditions for the slow roll
approximation, but is otherwise model independent. The Ward identities allow us
to deduce that the three point function must be suppressed in general, being of
the same order of magnitude as in the slow roll model. They also fix the three
point function in terms of the four point function, upto one constant which we
argue is generically suppressed. Our approach is based on analyzing the wave
function of the universe, and the Ward identities arise by imposing the
requirements of spatial and time reparametrization invariance on it.
