Rolling G_2 Moduli

TL;DR

This paper analyzes the free time evolution of G_2 moduli in M-theory, deriving solutions that show blow-up moduli expand asymptotically, providing insights into moduli dynamics at large values.

Contribution

It presents new solutions for the dynamics of bulk and blow-up G_2 moduli during free evolution in M-theory, clarifying their asymptotic behavior.

Findings

Blow-up moduli expand asymptotically at early and late times.

Derived non-trivial solutions for moduli evolution.

Identified regimes where non-perturbative effects are negligible.

Abstract

We study the time evolution of freely rolling moduli in the context of M-theory on a G_2 manifold. This free evolution approximates the correct dynamics of the system at sufficiently large values of the moduli when effects from non-perturbative potentials and flux are negligible. Moduli fall into two classes, namely bulk moduli and blow-up moduli. We obtain a number of non-trivial solutions for the time-evolution of these moduli. As a generic feature, we find the blow-up moduli always expand asymptotically at early and late time.