A Novel Construction of de Sitter Vacua in Heterotic String Theory

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 controlled metastable de Sitter solutions within the domain of heterotic effective field theory.