Non-Gaussian Inflationary Perturbations from the dS/CFT Correspondence

Abstract

We use the dS/CFT correspondence and bulk gravity to predict the form of the renormalized holographic three-point correlation function of the operator which is dual to the inflaton field perturbation during single-field, slow-roll inflation. Using Maldcaena's formulation of the correspondence, this correlator can be related to the three-point function of the curvature perturbation generated during single-field inflation, and we find exact agreement with previous bulk QFT calculations. This provides a consistency check on existing derivations of the non-Gaussianity from single-field inflation and also yields insight into the nature of the dS/CFT correspondence. As a result of our calculation, we obtain the properly renormalized dS/CFT one-point function, including boundary contributions where derivative interactions are present in the bulk. In principle, our method may be employed to derive the n-point correlators of the inflationary curvature perturbation within the context of (n-1)th-order perturbation theory, rather than nth-order theory as in conventional approaches.

23 pages, uses iopart.cls. Replaced with version accepted by JCAP; some clarifications in the introduction, and references added

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• Nongaussianity from Tachyonic Preheating in Hybrid Inflation
• Large Nongaussianity from Nonlocal Inflation
• Holographic Non-Gaussianity
• A note on the role of the boundary terms for the non-Gaussianity in general k-inflation
• Consistency condition for inflation from (broken) conformal symmetry
• Cosmological 3-point correlators from holography
• Predictions for Nongaussianity from Nonlocal Inflation
• Non-Gaussian corrections to the probability distribution of the curvature perturbation from inflation
• Multi-field inflation from holography
• Non-Gaussian inflationary shapes in $G^3$ theories beyond Horndeski
• Renormalisation of IR divergences and holography in de Sitter
• Proving the absence of large one-loop corrections to the power spectrum of curvature perturbations in transient ultra-slow-roll inflation within the path-integral approach
• Holographic inflation and the conservation of $\zeta$
• An Effective Cosmological Collider
• Improvement of energy-momentum tensor and non-Gaussianities in holographic cosmology
• Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics
• Holographic non-Gaussianities in general single-field inflation
• Cosmology at the boundary of de Sitter using the dS/QFT correspondence
• Holographic Entanglement Entropy in the FLRW Universe
• Unitarity at Infinity and Topological Holography
• Effects of high-order operators in non-relativistic Lifshitz holography
• Cosmological singleton gravity theory and dS/LCFT correspondence
• Cosmological three-coupled scalar theory for the dS/LCFT correspondence