Towards conformal cosmology
  Approximate de Sitter symmetry of inflating Universe is responsible for the
approximate flatness of the power spectrum of scalar perturbations. However,
this is not the only option. Another symmetry which can explain nearly
scale-invariant power spectrum is conformal invariance. We give a short review
of models based on conformal symmetry which lead to the scale-invariant
spectrum of the scalar perturbations. We discuss also potentially observable
features of these models.
