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.

arXiv comment27 pages, 1 figure; v2: version to appear in JHEP

References in corpus (32)

• Gauge Theory Correlators from Non-Critical String Theory
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Lecture Notes on Holographic Renormalization
• The dS/CFT Correspondence
• A general proof of the conservation of the curvature perturbation
• Holographic Renormalization
• Inflation and the dS/CFT Correspondence
• F-Theorem without Supersymmetry
• Evolution of second-order cosmological perturbations
• CMB from CFT
• Symmetries and Loops in Inflation
• Holography for inflation using conformal perturbation theory
• The constancy of ζin single-clock Inflation at all loops
• Loops in inflationary correlation functions
• Holographic Non-Gaussianity
• The Holographic Universe
• Holographic Multiverse
• Inflation and de Sitter Holography
• Cosmological 3-point correlators from holography
• Consistency condition for inflation from (broken) conformal symmetry
• Inflationary Consistency Conditions from a Wavefunctional Perspective
• Non-Gaussian Inflationary Perturbations from the dS/CFT Correspondence
• Conserved cosmological perturbation in Galileon models
• Asymptotic freedom, asymptotic flatness and cosmology
• Conservation of the nonlinear curvature perturbation in generic single-field inflation
• On the power spectrum of inflationary cosmologies dual to a deformed CFT
• Holography, Diffeomorphisms, and Scaling Violations in the CMB
• Natural selection of inflationary vacuum required by infra-red regularity and gauge-invariance
• Holographic multiverse and conformal invariance
• Inflation and deformation of conformal field theory
• Holographic multiverse and the measure problem

Cited by in corpus (17)

• From Planck data to Planck era: Observational tests of Holographic Cosmology
• New perspectives on constant-roll inflation
• Multi-field inflation from holography
• $\delta N$ formalism from superpotential and holography
• Identifying Universality in Warm Inflation
• On conformal correlators and blocks with spinors in general dimensions
• Constraining holographic cosmology using Planck data
• Holography for the very early Universe and the classic puzzles of Hot Big Bang cosmology
• Universality in generalized models of inflation
• Holographic non-Gaussianities in general single-field inflation
• Wavefunctions in dS/CFT revisited: principal series and double-trace deformations
• An Hamilton-Jacobi formulation of anisotropic inflation
• Consistency relations and conservation of $\zeta$ in holographic inflation
• Conservation of $\zeta$ with radiative corrections from heavy field
• Holographic cosmology solutions of problems with pre-inflationary cosmology
• Effects of high-order operators in non-relativistic Lifshitz holography
• Cosmological three-coupled scalar theory for the dS/LCFT correspondence