de Sitter in non-supersymmetric string theories: no-go theorems and brane-worlds

TL;DR

This paper derives no-go theorems for de Sitter solutions in non-supersymmetric string theories, connecting to Swampland conjectures and constructing explicit de Sitter brane-world models within anti-de Sitter landscapes.

Contribution

It extends no-go theorems for de Sitter spaces to non-supersymmetric string models and provides a top-down construction of de Sitter brane-world cosmologies.

Findings

No-go theorems prevent stable de Sitter solutions in these models.

Connections established between de Sitter configurations and Swampland conjectures.

Explicit string embedding of de Sitter brane-worlds within anti-de Sitter landscapes.

Abstract

We study de Sitter configurations in ten-dimensional string models where supersymmetry is either absent or broken at the string scale. To this end, we derive expressions for the cosmological constant in general warped flux compactifications with localized sources, which yield no-go theorems that extend previous works on supersymmetric cases. We frame our results within a dimensional reduction and connect them to a number of Swampland conjectures, corroborating them further in the absence of supersymmetry. Furthermore, we construct a top-down string embedding of de Sitter brane-world cosmologies within unstable anti-de Sitter landscapes, providing a concrete realization of a recently revisited proposal.