论文标题
$ \ MATHCAL {N} = 1 $和$ \ MATHCAL {n} = 0 $ flipped $ su（5）$ ymmmetric $ \ mathbb {z} _2 \ times \ times \ mathbb {z} _2
Towards Classification of $\mathcal{N}=1$ and $\mathcal{N}=0$ Flipped $SU(5)$ Asymmetric $\mathbb{Z}_2 \times \mathbb{Z}_2$ Heterotic String Orbifolds
论文作者
论文摘要
免费的费米子分类方法提供了一个强大的工具来研究弦真空吸尘器，从而发现了旋转器 - 向量二元性和外生弦模型。我们将分类方法扩展到$ \ MATHCAL {N} = 1 $和$ \ MATHCAL {n} = 0 $ flipped $ su（5）$ $ $ $ \ MATHBB {Z} _2 \ times \ times \ times \ Mathbb {z} _2 $ heterotic string oferbifolds and asmmetric chriphs。研究了不对称分配对这些模型现象学特征的影响。特别令人感兴趣的是分析未介绍的模量固定，以分析不对称边界条件的各种选择。在SAT/SMT算法的帮助下，系统地研究了两类具有不同特征的真空吸尘器，这些算法的帮助显示，这些算法可提高搜索效率，最多将搜索效率提高两个数量级，并提供有用的工具来找到各种现象学标准之间的矛盾。解释了模型空间的分区函数的一般形式，并为两个特定示例模型提供了不同选择的非对称边界条件。此外，描述并讨论了两个不同类别模型中样品对样品的一环宇宙恒定贡献的分布。
The free fermionic classification method provides a powerful tool to investigate string vacua, which led to the discovery of spinor--vector duality and exophobic string models. We extend the classification methodology to both $\mathcal{N}=1$ and $\mathcal{N}=0$ Flipped $SU(5)$ $\mathbb{Z}_2 \times \mathbb{Z}_2$ heterotic string orbifolds with asymmetric shifts. The impact of the asymmetric assignments on the phenomenological characteristics of these models is investigated. Of particular interest is the analysis of untwisted moduli fixing for various choices of asymmetric boundary conditions. Two classes of vacua with different characteristics are systematically investigated with help from SAT/SMT algorithms, which are shown to increase search efficiency by up to two orders of magnitude, as well as providing useful tools to find contradictions between various phenomenological criteria. The general form of the partition function for the space of models is explained and given for two specific example models for different choices of asymmetric boundary conditions. Additionally, the distribution of one-loop cosmological constant contributions for samples in the two different classes of models are depicted and discussed.
