On the dual flow of slow-roll Inflation

Understand

We study the dual 3d Euclidean RG flow of single-field slow-roll Inflation using the postulates of the dS/CFT correspondence.

• For that purpose we solve for the inflationary fluctuation at all times using a matching procedure between two approximate solutions which are separately valid at different regions of the space of parameters but together cover all of it.
• The two modes of the full solution mix such that each of the modes at late times is a superposition of the modes in the quasi-de Sitter region.
• We find that the dual theory admits two phases of explicit and spontaneous breaking of conformal symmetry.