Thermal power spectrum in the CFT driven cosmology

TL;DR

This paper discusses a CFT-driven cosmological model that predicts a thermal component in the primordial power spectrum of the CMB, potentially explaining the red tilt and linking it to the theory's thermodynamic properties.

Contribution

It introduces a novel CFT-based cosmological framework with a thermal origin of primordial fluctuations and explores its implications for CMB anisotropy.

Findings

Thermal nature of the primordial power spectrum is proposed.

A thermal contribution to the red tilt of the CMB spectrum is identified.

The amplification of effects via the $a$-theorem is discussed.

Abstract

We present an overview of the recently suggested cosmological model driven by conformal field theory (CFT) with the initial conditions in the form of the microcanonical density matrix. In particular, we discuss the origin of inflationary stage in this model and a novel feature -- the thermal nature of the primordial power spectrum of the CMB anisotropy. The relevant effect of "temperature of the relic temperature anisotropy" can be responsible for a thermal contribution to the red tilt of this spectrum, additional to its conventional vacuum component. The amplification of this effect due to recently established $a$-theorem in CFT is briefly discussed.