Inflationary Perturbations from Deformed CFT

Abstract

We present a new method to calculate the spectrum of (slow-roll) inflationary perturbations, inspired by the conjectured dS/CFT correspondence. We show how the standard result for the spectrum of inflationary perturbations can be obtained from deformed CFT correlators, whose behavior is determined by the Callan-Symanzik equation. We discuss the possible advantages of this approach and end with some comments on the role of holography in dS/CFT and its relation to the universal nature of the spectrum of inflationary perturbations.

24 pages, uses JHEP style file, corrected typos, added references, version accepted for publication by JHEP

References in corpus (9)

• Squeezed States in the de Sitter Vacuum
• Primeval Corrections to the CMB Anisotropies
• Inflation and de Sitter Holography
• Trans-Planckian footprints in inflationary cosmology
• Vacuum Choices and the Predictions of Inflation
• The Fate of the Alpha-Vacuum
• Holographic bounds on the UV cutoff scale in inflationary cosmology
• Holographic Limitations of the Effective Field Theory of Inflation
• Decoupling, Trans-Planckia and Inflation

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