Non-SUSY Gepner models with vanishing cosmological constant

• Published in: Progress of theoretical and experimental physics Vol. 2020; no. 10
• Main Authors: Aoyama, Koji, Sugawara, Yuji
• Format: Journal Article
• Language: English
• Published: Oxford Oxford University Press 01.10.2020
• Subjects: Spacetime; B24
• ISSN: 2050-3911; 2050-3911
• DOI: 10.1093/ptep/ptaa116

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.