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<p>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<sub><i>p,q</i></sub> 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 <i>G</i>/<i>H</i>, automatically satisfying the three-form Bianchi identities with <i>H</i>-valued gauge fields.</p>

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AdS vacua of non-supersymmetric strings

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月10日

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  • Salvatore Raucci,
  • Alessandro Tomasiello

摘要

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.