# Consistent truncation and de Sitter space from gravitational instantons

## TL;DR

This paper develops a consistent four-dimensional truncation of type IIA string theory compactified on Calabi-Yau manifolds, demonstrating that gravitational instanton-induced condensates can support de Sitter space solutions under specific conditions.

## Contribution

It introduces a novel consistent truncation including gravitational instanton effects and shows how these can lead to de Sitter solutions in string compactifications.

## Key findings

- Constructed a consistent truncation including flux and instanton effects.
- Demonstrated de Sitter solutions supported by gravitational instanton condensates.
- Identified conditions for the validity of these solutions.

## Abstract

We construct a four-dimensional consistent truncation to the bosonic part of the universal sector of Calabi-Yau IIA compactification (i.e. the gravity multiplet, one vectormultiplet, and one hypermultiplet) in the presence of background flux and fermionic condensates generated by gravitational instantons. The condensates are controlled by the ratio of the characteristic length of the Calabi-Yau to the string length, and can be fine-tuned to be dominant in a region of large volume and small string coupling. The consistent truncation admits de Sitter solutions supported by the condensates, subject to certain validity conditions that we discuss.