AI 中文总结
该研究通过orbifold构造分类八维保持秩的极大增强非超对称杂化弦，得到1210个极大增强点，筛选出无快子及无平移区无质量标量的子情形并检验沼泽地猜想。
AI 中文摘要
我们通过研究超对称杂化弦在$T^2$上的orbifolds，对八维中保持秩的极大增强非超对称杂化弦进行分类。我们首先回顾九维中的构造，该构造重现了此前扩展 Dynkin 分析得到的95个极大半单增强点。随后我们从八维中的极大增强超对称 Narain 点出发，利用 Kac 定理枚举候选二阶内作用，仅保留那些可提升为自洽 Narain 格平移的作用，由此得到1210个极大增强点，其中71个无快子，25个既无快子也无平移区无质量标量。对每个条目我们确定其规范代数及低能标量、费米谱，对无快子情形计算一圈宇宙学常数。对25个无平移区无质量标量的子情形，我们进一步计算一圈势的 Hessian 并检验改进的 de Sitter 沼泽地猜想。
英文摘要
We classify maximally enhanced, rank-preserving non-supersymmetric heterotic strings in eight dimensions by studying orbifolds of supersymmetric heterotic strings on $T^2$. We first review the construction in nine dimensions, where it reproduces the $95$ maximally semisimple enhancement points obtained from previous extended-Dynkin analyses. We then start from the maximally enhanced supersymmetric Narain points in eight dimensions and use Kac's theorem to enumerate candidate order-two inner actions, retaining only those that lift to consistent Narain-lattice shifts. This gives $1210$ maximal enhancement points, of which $71$ are tachyon-free, and $25$ have neither tachyons nor shifted-sector massless scalars. For each entry we determine the gauge algebra and the low-lying scalar and fermion spectra, and for the tachyon-free cases we evaluate the one-loop cosmological constant. For the 25 subcases without shifted-sector massless scalars, we further compute the Hessian of the one-loop potential and test the refined de Sitter swampland conjecture.
Comments37 pages, ancillary file included
