In this article we discuss a construction of non-SUSY type II string vacua with the vanishing cosmological constant at the one loop level based on the generic Gepner models for Calabi-Yau 3-folds. We make an orbifolding of the Gepner models by $Z_2 \times Z_4$, which asymmetrically acts with some discrete torsions incorporated. We demonstrate that the obtained type II string vacua indeed lead to the vanishing cosmological constant at the one loop, whereas any space-time supercharges cannot be constructed as long as assuming the chiral forms such as '$Q^{\alpha}_L \equiv \oint dz J_L^{\alpha}(z)$'. We further discuss possible generalizations of the models described above.

中文翻译：

---

具有消失宇宙常数的非 SUSY Gepner 模型

在本文中，我们基于 Calabi-Yau 3-folds 的通用 Gepner 模型，讨论了在一个循环水平上具有消失宇宙学常数的非 SUSY II 型弦真空的构造。我们通过 $Z_2 \times Z_4$ 对 Gepner 模型进行了轨道折叠，它不对称地与一些离散扭转结合在一起。我们证明了所获得的 II 型弦真空确实导致在一个循环中消失的宇宙学常数，而只要假设手征形式，例如 '$Q^{\alpha}_L \equiv，就不能构建任何时空增压\oint dz J_L^{\alpha}(z)$'。我们进一步讨论了上述模型的可能推广。