Holographic 2-Point Functions in the Pseudo-Conformal Universe

TL;DR

This paper computes two-point correlation functions holographically within the pseudo-conformal universe model, an alternative to inflation, using domain wall geometries with de Sitter symmetry.

Contribution

It introduces a holographic approach to calculate two-point functions in the pseudo-conformal universe modeled as a defect conformal field theory.

Findings

Calculated scalar and stress tensor two-point functions holographically.

Demonstrated the duality between domain wall geometries and the pseudo-conformal universe.

Provided explicit solutions for fluctuations in the dual spacetime.

Abstract

We holographically calculate two-point functions in the pseudo-conformal universe, an early universe alternative to inflation. The pseudo-conformal universe can be modeled as a defect conformal field theory, where the reheating surface is a codimension-1 spacelike defect which breaks the conformal algebra to a de Sitter subalgebra. The dual spacetime geometries are domain walls with de-Sitter symmetry in an asymptotically anti-de Sitter spacetime. We compute 2-point functions of scalars and stress tensors by solving the linearized equations for scalar and tensor fluctuations about these backgrounds.