Holographic cosmology solutions of problems with pre-inflationary cosmology

TL;DR

This paper demonstrates how holographic cosmology can address key pre-inflationary problems, including the monopole relic issue, providing mechanisms that complement inflation and fit CMBR data.

Contribution

It offers detailed solutions to pre-inflationary cosmological problems within the holographic model, especially through a novel calculation of monopole relic dilution in a toy model.

Findings

Holographic cosmology solves smoothness, horizon, flatness, entropy, perturbation, and baryon asymmetry problems.

A detailed 2-loop correlator calculation shows dilution of monopole relics.

Holographic cosmology fits CMBR data as well as standard inflationary models.

Abstract

In this paper we describe in detail how to solve the problems of pre-inflationary cosmology within the holographic cosmology model of McFadden and Skenderis \cite{McFadden:2009fg}. The solutions of the smoothness and horizon problems, the flatness problem, the entropy and perturbation problems and the baryon asymmetry problem are shown, and the mechanisms for them complement the inflationary solutions. Most of the paper is devoted to the solution of the monopole relic problem, through a detailed calculation of 2-loop correlators of currents in a toy model which we perform in $d$ dimensions, in order to extract its leading dependece on $g^2_{\rm eff}=g^2_{YM}N/q$ and find a dilution effect. Taken together with the fact that holographic cosmology gives as good a fit to CMBR as the standard paradigm of $\Lambda$ CDM with inflation, it means holographic cosmology extends the inflationary paradigm into new corners, explorable only through a dual perturbative field theory in 3 dimensions.