New non-supersymmetric flux vacua in string theory

TL;DR

This paper constructs explicit large ensembles of non-supersymmetric flux vacua in type IIB string theory, providing new examples and insights into their properties, including vacuum energy suppression and distribution of superpotential values.

Contribution

It presents the first explicit examples of non-supersymmetric flux vacua in Calabi-Yau orientifold compactifications with discrete fluxes, expanding the landscape of known solutions.

Findings

Several flux vacua with hierarchical vacuum energy suppression.

Distribution differences of W_0 between supersymmetric and non-supersymmetric minima.

Explicit examples in specific Calabi-Yau compactifications.

Abstract

In this note we construct large ensembles of supersymmetry breaking solutions arising in the context of flux compactifications of type IIB string theory. This class of solutions was previously proposed in arXiv:hep-th/0402135 for which we provide the first explicit examples in Calabi-Yau orientifold compactifications with discrete fluxes below their respective tadpole constraint. As a proof of concept, we study the degree 18 hypersurface in weighted projective space $\mathbb{CP}_{1,1,1,6,9}$. Furthermore, we look at 10 additional orientifolds with $h^{1,2}=2,3$. We find several flux vacua with hierarchical suppression of the vacuum energy with respect to the gravitino mass. These solutions provide a crucial stepping stone for the construction of explicit de Sitter vacua in string theory. Lastly, we also report the difference in the distribution of $W_0$ between supersymmetric and non-supersymmetric minima.