AdS vacua of non-supersymmetric strings

Abstract

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 $T_{p,q}$ geometries. For the $\mathrm{SO}(16)\times \mathrm{SO}(16)$ 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.

31 pages; v2, published version: appendix added; v3: typo in (3.34) corrected

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Cited by in corpus (3)

• O(16)$\times$O(16) heterotic theory on $Ad{S}_3\times S^3\times T^4$
• Non-supersymmetric heterotic strings on $Ad{S}_4\times S^3\times S^3$
• Non-supersymmetric strings on AdS${}_3$: a world-sheet perspective