Holographic Inflation

TL;DR

This paper explores a holographic inflation model based on the de Sitter/CFT correspondence, deriving constraints on the boundary theory and discussing the challenges in constructing viable models, along with insights into holographic quintessence.

Contribution

It introduces a holographic inflation framework using boundary field theories and identifies model-independent predictions and constraints, highlighting the difficulty in finding suitable boundary theories.

Findings

Inflationary constraints restrict boundary theory parameters.

Model-independent predictions include specific bounds on tensor-to-scalar ratio and Hubble scale.

Simple boundary theories considered do not produce inflation.

Abstract

Using the de Sitter/CFT correspondence we describe a scenario of holographic inflation which is driven by a three dimensional boundary field theory. We find that inflationary constraints severely restrict the $\beta$--function, the anomalous dimensions and the value of the $C$--function of the boundary theory. The scenario has model independent predictions such as $\epsilon<< \eta$, $n_T<0.04$, $P_{tensor}/P_{scalar}<0.08$ and $H<10^{14} GeV$. We consider some simple boundary theories and find that they do not lead to inflation. Thus, building an acceptable holographic inflation model remains a challenge. We also describe holographic quintessence and find that it closely resembles a cosmological constant.