Inflation and the dS/CFT Correspondence

TL;DR

This paper explores the theoretical connection between cosmic inflation and the dS/CFT correspondence, proposing that the universe's evolution can be viewed as a renormalization group flow between two conformal fixed points.

Contribution

It introduces a novel perspective linking inflationary cosmology with the dS/CFT duality, suggesting the universe's evolution as a RG flow between fixed points.

Findings

Infrared fixed point corresponds to the inflationary phase.

Ultraviolet fixed point corresponds to a de Sitter phase.

Hubble parameter decrease aligns with RG flow irreversibility.

Abstract

It is speculated that the observed universe has a dual representation as renormalization group flow between two conformal fixed points of a three-dimensional Euclidean field theory. The infrared fixed point corresponds to the inflationary phase in the far past. The ultraviolet fixed point corresponds to a de Sitter phase dominated by the cosmological constant indicated in recent astronomical data. The monotonic decrease of the Hubble parameter corresponds to the irreversibility of renormalization group flow.