Inflation from Superstring/M-Theory Compactification with Higher Order Corrections II -- Case of Quartic Weyl Terms --

TL;DR

This paper investigates inflationary solutions in M-theory with quartic Weyl curvature corrections, identifying stable solutions with potential for realistic cosmological models and moduli stabilization.

Contribution

It systematically finds and analyzes exact, asymptotic, and numerical inflationary solutions in M-theory with higher order corrections, highlighting a stable solution with static internal space.

Findings

Identified a solution with exponential external expansion and static internal space.

Found numerical solutions providing sufficient e-foldings for inflation.

Summarized similar solutions in type II superstring theory.

Abstract

We present a detailed study of inflationary solutions in M-theory with higher order quantum corrections. We first exhaust all exact and asymptotic solutions of exponential and power-law expansions in this theory with quartic curvature corrections, and then perform a linear perturbation analysis around fixed points for the exact solutions in order to see which solutions are more generic and give interesting cosmological models. We find an interesting solution in which the external space expands exponentially and the internal space is static both in the original and Einstein frames. This may be regarded as moduli stabilization by higher order corrections. Furthermore, we perform a numerical calculation around this solution and find numerical solutions which give enough e-foldings. We also briefly summarize similar solutions in type II superstrings.