We study a natural generalization of the results given in K. Aoyama and Y. Sugawara, Prog. Theor. Exp. Phys. 2020, 103B01 (2020) to heterotic strings. Namely, starting from the generic Gepner models for Calabi –Yau three-folds, we construct non-SUSY heterotic string vacua with vanishing cosmological constant at the one-loop level. We especially focus on asymmetric orbifolding based on some discrete subgroup of the chiral $U(1)$ action which acts on both the Gepner model and the $SO(32)$ or $E_8\times E_8$ sector. We present a classification of the relevant orbifold models leading to the string vacua with the properties mentioned above. In some cases, the desired vacua can be constructed in a manner quite similar to those given in the previous paper for the type II string, in which the orbifold groups contain two generators with discrete torsions. On the other hand, we also have simpler models that are just realized as asymmetric orbifolds of cyclic groups with only one generator.

中文翻译：

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具有消失的宇宙常数的 Gepner 模型的非 SUSY 杂质弦真空

我们研究了 K. Aoyama 和 Y. Sugawara, Prog. 中给出的结果的自然概括。理论。经验。物理。2020, 103B01 (2020) 到杂音字符串。即，从 Calabi-Yau 三重的通用 Gepner 模型开始，我们构建了在单环水平上具有消失的宇宙学常数的非 SUSY 杂项弦真空。我们特别关注基于手性 $U(1)$ 作用的一些离散子群的不对称 orbifolding，它作用于 Gepner 模型和 $SO(32)$ 或 $E_8\times E_8$ 扇区。我们提出了导致具有上述属性的弦真空的相关 orbifold 模型的分类。在某些情况下，所需的真空可以以与之前论文中给出的 II 型弦非常相似的方式构建，其中 orbifold 组包含两个具有离散扭转的发生器。