八维陪集空间降维建模
Model building by coset space dimensional reduction in eight-dimensions
摘要：
我们研究八维时空中的规范-希格斯统一模型，其中额外的维空间具有四维紧致陪集空间的结构。列出了这种模型的八维时空中陪集空间和规范群的组合。在陪集空间降维之后，我们确定了$\mathrm{SO}(10)$、$\mathrm{SO}(10) \times \mathrm{U}(1)$和$\mathrm{SO}(10) \times \mathrm{U}(1) \times \mathrm{U}(1)$是四维理论中可能的规范群，它们可以容纳标准模型，因此在唯象上是有希望的。这些规范群的费米子和标量的表示列表。
英文摘要：
We investigate gauge-Higgs unification models in eight-dimensional spacetime where extra-dimensional space has the structure of a four-dimensional compact coset space. The combinations of the coset space and the gauge group in the eight-dimensional spacetime of such models are listed. After the dimensional reduction of the coset space, we identified $\mathrm{SO}(10)$, $\mathrm{SO}(10) \times \mathrm{U}(1)$ and $\mathrm{SO}(10) \times \mathrm{U}(1) \times \mathrm{U}(1)$ as the possible gauge groups in the four-dimensional theory that can accomodate the Standard Model and thus is phenomenologically promising. Representations for fermions and scalars for these gauge groups are tabulated.
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