A Novel Construction of de Sitter Vacua in Heterotic String Theory

TL;DR

This paper introduces a string-theoretic method to generate four-dimensional de Sitter vacua in heterotic string theory using non-geometric R-flux compactifications, stabilized by algebraic and correction-based mechanisms.

Contribution

It provides a concrete construction of de Sitter vacua in heterotic string theory leveraging non-associative algebraic structures and alpha-prime corrections.

Findings

Positivity of the scalar potential stabilizes the breathing mode.

The construction yields a metastable de Sitter vacuum.

Stability is ensured by Sabinin-algebra identities.

Abstract

We present a concrete string-theoretic mechanism that generates four-dimensional de Sitter vacua from non-geometric R-flux compactifications of heterotic string theory. The construction rests on three pillars: the Malcev algebra generated by the R-flux phase-space brackets; its universal Sabinin envelope, which ensures a consistent non-associative gauge structure in doubled geometry; and the leading alpha-prime torsion-squared correction to the heterotic action, whose strictly positive contribution uplifts the scalar potential. Positivity, guaranteed by Sabinin-algebra identities, stabilizes the overall breathing mode at positive energy, yielding a controlled metastable de Sitter scenario within heterotic effective field theory when supplemented by a standard hidden-sector gaugino-condensation uplift.