Raising Anti de Sitter Vacua to de Sitter Vacua in Heterotic M-Theory

TL;DR

This paper investigates how to achieve de Sitter vacua in heterotic M-theory by incorporating corrections and Fayet-Iliopoulos terms, enabling potential cosmological applications.

Contribution

It demonstrates that Fayet-Iliopoulos terms can generate de Sitter vacua in heterotic models and discusses moduli stabilization in non-supersymmetric compactifications.

Findings

Fayet-Iliopoulos terms can produce de Sitter vacua in generic compactifications.

The cosmological constant can be fine-tuned to match observations.

De Sitter vacua in non-supersymmetric models require moduli stabilization at sub-Calabi-Yau scales.

Abstract

We explore the possibility of obtaining de Sitter vacua in strongly coupled heterotic models by adding various corrections to the supergravity potential energy. We show that, in a generic compactification scenario, Fayet-Iliopoulos terms can generate a de Sitter vacuum. The cosmological constant in this vacuum can be fine tuned to be consistent with observation. We also study moduli potentials in non-supersymmetric compactifications of $E_8 \times E_8$ theory with anti five-branes and $E_8 \times \bar E_8$ theory. We argue that they can be used to create a de Sitter vacuum only if some of the Kahler structure moduli are stabilized at values much less than the Calabi-Yau scale.