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Non-SUSY Heterotic String Vacua of Gepner Models with Vanishing Cosmological Constant
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Non-SUSY Heterotic String Vacua of Gepner Models with Vanishing Cosmological Constant
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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.
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Cited by 1 Pith paper
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Asymmetric orbifolds with vanishing one-loop vacuum energy
Non-supersymmetric type II asymmetric orbifolds with Z_k x Z_k Abelian point groups (k=2,3,4) admit vanishing one-loop vacuum energy via sector-wise conservation of a supercharge-like operator.
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