On the dual flow of slow-roll Inflation

Abstract

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. We also find that the mixing effect between the two modes in the bulk implies that slow-roll inflation does not guarantee, but rather generically generates, a nearly scale invariant power spectrum, except in fine-tuned situations. We suggest that the mixing effect can have a unique signature on other cosmological observables such as the bispectrum.

20 pages. v2: minor changes, references added. v3: version to appear in JHEP

References in corpus (8)

• The Effective Field Theory of Inflation
• Consistency condition for inflation from (broken) conformal symmetry
• Asymptotic freedom, asymptotic flatness and cosmology
• On higher derivative gravity, c-theorems and cosmology
• On the power spectrum of inflationary cosmologies dual to a deformed CFT
• The holographic dilaton
• The a-theorem and conformal symmetry breaking in holographic RG flows
• Double Trace Flows and Holographic RG in dS/CFT correspondence

Cited by in corpus (6)

• Multi-field inflation from holography
• $\delta N$ formalism from superpotential and holography
• Black Hole Thermodynamics with Dynamical Lambda
• Improvement of energy-momentum tensor and non-Gaussianities in holographic cosmology
• Wavefunctions in dS/CFT revisited: principal series and double-trace deformations
• An Effective Theory for Holographic RG Flows