Non-SUSY Heterotic String Vacua of Gepner Models with Vanishing Cosmological Constant

Abstract

We study a natural generalization of that given in [arXiv:2005.13198 [hep-th]] to heterotic string. Namely, starting from the generic Gepner models for Calabi-Yau 3-folds, we construct the non-SUSY heterotic string vacua with the vanishing cosmological constant at the one loop. We especially focus on the asymmetric orbifolding based on some discrete subgroup of the chiral $U(1)$-action which acts on both of 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 the manner quite similar to those given in [arXiv:2005.13198 [hep-th]] for the type II string, in which the orbifold groups contain two generators with the discrete torsions. On the other hand, we also have simpler models that are just realized as the asymmetric orbifolds of cyclic groups with only one generator.

1+18 pages, no figure, to be published in PTEP; v2 references added; v3 reference added. arXiv admin note: text overlap with arXiv:2005.13198

References in corpus (8)

• Towards a Non-Supersymmetric String Phenomenology
• Statistics on the Heterotic Landscape: Gauge Groups and Cosmological Constants of Four-Dimensional Heterotic Strings
• Non-supersymmetric heterotic model building
• Super no-scale models in string theory
• Universality of Gauge Thresholds in Non-Supersymmetric Heterotic Vacua
• Stability, enhanced gauge symmetry and suppressed cosmological constant in 9D heterotic interpolating models
• Marginal deformations of heterotic interpolating models and exponential suppression of the cosmological constant
• Non-SUSY Gepner Models with Vanishing Cosmological Constant

Cited by in corpus (6)

• The landscape of promising non-supersymmetric string models
• Target Space Duality of Non-Supersymmetric String Theory
• Interpolation and Exponentially Suppressed Cosmological Constant in Non-Supersymmetric Heterotic Strings with General ${\mathbb{Z}}_2$ Twists
• Higgs-portal dark matter from non-supersymmetric strings
• Notes on Vanishing Cosmological Constant without Bose-Fermi Cancellation
• Interactions of strings on a T-fold