2006/04/30 by David Seery, James E. Lidsey · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmic microwave background #Cosmological perturbation theory #Cosmology and Gravitation Theories #Curvature #Geometry #Geophysics and Gravity Measurements #Inflation (cosmology) #Inflaton #Mathematical physics #Non-Gaussianity #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum electrodynamics #Quantum mechanics #Theoretical physics #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1088/1475-7516/2006/06/001
published as JCAP 0606 (2006) 001 · 23 pages, uses iopart.cls. Replaced with version accepted by JCAP; some clarifications in the introduction, and references added
arxiv created 2006/05/12 · openalex publication_date 2006/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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 n th-order theory as in conventional approaches.