Non-SUSY Gepner models with vanishing cosmological constant

Abstract

Abstract 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 $\Bbb Z_2 \times \Bbb Z_4$, 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 level, whereas any space-time supercharges cannot be constructed as long as we assume chiral forms such as “$ \displaystyle {\cal Q}^{\alpha}_L \equiv \oint dz\, {\cal J}_L^{\alpha}(z) $”. We further discuss possible generalizations of the models described above.