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arXiv · 2506.04059

A Novel Construction of de Sitter Vacua in Heterotic String Theory

Mir Faizal·Arshid Shabir
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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.

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Mir Faizal, Arshid Shabir. 2025-06-04. A Novel Construction of de Sitter Vacua in Heterotic String Theory. https://doi.org/10.1088/1475-7516%2F2026%2F04%2F007

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