Constraining holographic cosmology using Planck data

Abstract

Holographic cosmology offers a novel framework for describing the very early Universe in which cosmological predictions are expressed in terms of the observables of a three dimensional quantum field theory (QFT). This framework includes conventional slow-roll inflation, which is described in terms of a strongly coupled QFT, but it also allows for qualitatively new models for the very early Universe, where the dual QFT may be weakly coupled. The new models describe a universe which is non-geometric at early times. While standard slow-roll inflation leads to a (near-)power-law primordial power spectrum, perturbative superrenormalizable QFT's yield a new holographic spectral shape. Here, we compare the two predictions against cosmological observations. We use CosmoMC to determine the best fit parameters, and MultiNest for Bayesian Evidence, comparing the likelihoods. We find that the dual QFT should be non-perturbative at the very low multipoles ($l\lesssim 30$), while for higher multipoles ($l\gtrsim 30$) the new holographic model, based on perturbative QFT, fits the data just as well as the standard power-law spectrum assumed in $\Lambda$CDM cosmology. This finding opens the door to applications of non-perturbative QFT techniques, such as lattice simulations, to observational cosmology on gigaparsec scales and beyond.

25 pages, 10 figures, updated to match version to appear in PRD

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• Identifying Universality in Warm Inflation
• Holography for the very early Universe and the classic puzzles of Hot Big Bang cosmology
• On the TransPlanckian Censorship Conjecture in Holographic Cosmology
• An Hamilton-Jacobi formulation of anisotropic inflation
• Two-point function of the energy-momentum tensor and generalised conformal structure
• Solution of the cosmological constant problem within holographic cosmology
• Holographic cosmology solutions of problems with pre-inflationary cosmology
• Lower bound on the cosmological constant from the classicality of the Early Universe
• Holographic cosmology from "dimensional reduction" of $\mathcal{N}=4$ SYM vs. $Ad{S}_5\times S^5$
• The monopole problem in holographic cosmology