Holographic inflation and the conservation of $\zeta$

Abstract

In a holographic description of inflation, cosmological time evolution in the bulk is expected to correspond to the renomalization group (RG) flow in a dual boundary theory. Here, we analyze this expectation by computing the correlation functions of the curvature perturbation $\zeta$ holographically. For this purpose, we use a deformed conformal field theory at the boundary, with a single deformation operator. In standard single field models of inflation, $\zeta$ is known to be conserved at large scales under very general conditions. However, we find that this is not generically the case in the dual description. The requirement that higher correlators of $\zeta$ should be conserved severely restricts the possibilities for the RG flow. With such restriction, the power spectrum $P_{\zeta }$ must follow an exact power law, at least within the regime of validity of conformal perturbation theory.

27 pages, 1 figure; v2: version to appear in JHEP

References in corpus (6)

• Holographic Non-Gaussianity
• Holographic Multiverse
• Consistency condition for inflation from (broken) conformal symmetry
• Cosmological 3-point correlators from holography
• Non-Gaussian Inflationary Perturbations from the dS/CFT Correspondence
• Conservation of the nonlinear curvature perturbation in generic single-field inflation

Cited by in corpus (5)

• From Planck data to Planck era: Observational tests of Holographic Cosmology
• Multi-field inflation from holography
• Holographic non-Gaussianities in general single-field inflation
• Effects of high-order operators in non-relativistic Lifshitz holography
• Cosmological three-coupled scalar theory for the dS/LCFT correspondence