Towards conformal cosmology

Understand

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.