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<p>We consider toroidal asymmetric orbifolds of the heterotic string preserving all 16 supercharges, developing a general formalism to study components of the moduli space characterized by rank reduction of the gauge group. In particular we construct six- and four-dimensional heterotic islands with no massless moduli other than the dilaton. The formalism involves the Leech lattice, its automorphisms and their corresponding invariant and normal, or coinvariant, sublattices.</p>

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Asymmetric orbifolds, rank reduction and heterotic islands

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月12日

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  • Gerardo Aldazabal,
  • Eduardo Andrés,
  • Anamaría Font,
  • Kumar Narain,
  • Ida G. Zadeh

摘要

We consider toroidal asymmetric orbifolds of the heterotic string preserving all 16 supercharges, developing a general formalism to study components of the moduli space characterized by rank reduction of the gauge group. In particular we construct six- and four-dimensional heterotic islands with no massless moduli other than the dilaton. The formalism involves the Leech lattice, its automorphisms and their corresponding invariant and normal, or coinvariant, sublattices.