Analysis identifies new AdS backgrounds in non-supersymmetric string theories, suggesting innovative methods for gauge field incorporation.
Few vacua are known for the three tachyon-free non-supersymmetric string theories. We find new classes of AdS backgrounds by focusing on spaces where the equations of motion reduce to purely algebraic conditions. Our first examples involve non-zero three-form fluxes supported either on direct product internal spaces or on Tp,q geometries. For the SO(16)×SO(16) heterotic string, we then develop a method to engineer vacua with the addition of gauge fields. A formal Kaluza--Klein reduction yields complete solutions on a broad class of coset spaces $G/H$, automatically satisfying the three-form Bianchi identities with H-valued gauge fields.
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Raucci et al. (2025) studied this question.
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