# Constructing stable de Sitter in M-theory from higher curvature corrections

## TL;DR

This paper constructs stable, non-supersymmetric de Sitter solutions in M-theory by incorporating higher curvature corrections and fluxes, achieving scale separation and addressing flat directions.

## Contribution

It introduces a new method to obtain stable de Sitter vacua in M-theory using higher curvature corrections and fluxes without requiring gauge fluxes.

## Key findings

- Constructed non-supersymmetric, tachyon-free Minkowski extrema.
- Achieved a stable de Sitter solution with a lifted flat direction.
- Solutions exhibit scale separation and small quantum corrections.

## Abstract

We consider dimensional reductions of M-theory on $\mathbb{T}^{7}/\mathbb{Z}_{2}^{3}$ with the inclusion of arbitrary metric flux and spacetime filling KK monopoles. With these ingredients at hand, we are able to construct a novel family of non-supersymmetric yet tachyon free Minkowski extrema. These solutions are supported by pure geometry with no extra need for gauge fluxes and possess a fully stable perturbative mass spectrum, up to a single flat direction. Such a direction corresponds to the overall internal volume, with respect to which the scalar potential exhibits a no-scale behavior. We then provide a mechanism that lifts the flat direction to give it a positive squared mass while turning Mkw$_{4}$ into dS$_{4}$. The construction makes use of the combined effect of $G_{7}$ flux and higher curvature corrections. Our solution is scale separated and the quantum corrections are small. Finally we speculate on novel possibilities when it comes to scale hierarchies within a given construction of this type, and possible issues with the choice of quantum vacuum.