# Deriving the Inflaton in Compactified M-theory with a De Sitter Vacuum

## TL;DR

This paper demonstrates that a compactified M-theory on a $G_2$ manifold naturally contains a viable inflaton field, leading to a de Sitter vacuum without additional uplifting, derived from a consistent quantum gravity framework.

## Contribution

It shows that the inflaton can be identified with a moduli field in $G_2$ compactifications, resulting in a de Sitter vacuum directly from the theory.

## Key findings

- Inflation occurs near an inflection point in the moduli potential.
- De Sitter vacua are achievable without uplifting mechanisms.
- Charged hidden sector matter can generate de Sitter vacua.

## Abstract

Compactifying M-theory on a manifold of $G_2$ holonomy gives a UV complete 4D theory. It is supersymmetric, with soft supersymmetry breaking via gaugino condensation that simultaneously stabilizes all moduli and generates a hierarchy between the Planck and the Fermi scale. It generically has gauge matter, chiral fermions, and several other important features of our world. Here we show that the theory also contains a successful inflaton, which is a linear combination of moduli closely aligned with the overall volume modulus of the compactified $G_2$ manifold. The scheme does not rely on ad hoc assumptions, but derives from an effective quantum theory of gravity. Inflation arises near an inflection point in the potential which can be deformed into a local minimum. This implies that a de Sitter vacuum can occur in the moduli potential even without uplifting. Generically present charged hidden sector matter generates a de Sitter vacuum as well.