  In holographic models of cosmology based on the (A)dS/CFT correspondence,
conformal symmetry is implicit in the dual description of the Universe.
Generically, however, one cannot expect the (broken) conformal invariance in
the cosmic fluctuations as only the scale invariance is manifest in
experiments. Also, in order for the prediction of the holographic models to
make sense, the conformal symmetry needs to be broken as the scalar mode of the
metric fluctuations becomes pure gauge in the conformal limit. We discuss the
improvement ambiguity of the energy-momentum tensor in this context and
construct a holographic model of the Universe that preserves the scale
invariance but not necessarily the full conformal invariance. Our sample
computation using a weakly coupled dual field theory shows that the orthogonal
type of non-Gaussianity is present over and above the equilateral type. The
improvement ambiguity corresponds to the choice of the energy momentum tensor
that will couple to our particle physics sector after inflation. Our results
show that the holographic prediction of the cosmological parameters crucially
depends on such a choice.
