Cosmological Perturbations via Quantum Corrections in M-theory

TL;DR

This paper explores how quantum corrections from M-theory influence early universe inflation, analyzing scalar and tensor perturbations to understand their spectral properties.

Contribution

It introduces a perturbative solution of M-theory effective action with quantum corrections, analyzing inflationary perturbations analytically and numerically.

Findings

Spectral indices are nearly scale-invariant under certain initial conditions.

Quantum corrections induce inflation-like expansion in 4D spacetime.

Scalar and tensor perturbations behave consistently with observational data.

Abstract

In the early universe it is important to take into account quantum effect of the gravity to explain the feature of the inflation. In this paper, we consider the M-theory effective action which consists of 11 dimensional supergravity and (Weyl)$^4$ terms. The equations of motion are solved perturbatively, and the solution describes the inflation-like expansion in 4 dimensional spacetime. Scalar and tensor perturbations around this background are evaluated analytically and their behaviors are investigated numerically. If we assume that these perturbations are constant at the beginning of the inflation, spectral indices for scalar and tensor perturbations become almost scale invariant.