AI 中文总结
该论文提出基于$T^2/\mathbb Z_4$的六维SU(9)大统一模型，可实现标准模型规范相互作用大统一与电弱对称性破缺，无奇异物质与质子衰变问题。
AI 中文摘要
我们研究六维SU(9)大统一模型，该模型具有秩缩减离散边界条件和环面 orbifold $T^2/\mathbb Z_4$上的连续Wilson线相位。我们证明该模型可实现标准模型规范相互作用的大统一，并通过Hosotani机制实现电弱对称性破缺。该模型具有多个吸引人的特性：两个希格斯二重态作为规范场额外维分量的零模出现，每代轻子和夸克分别嵌入SU(9)的$\boldsymbol{36}$和$\boldsymbol{84}$表示的两个体多重态中，且无奇异物质；此外，由于轻子和夸克属于不同体多重态，体规范玻色子介导的质子衰变过程不存在。
英文摘要
We study a six-dimensional SU(9) grand unified model with rank-reducing discrete boundary conditions and continuous Wilson line phases on the orbifold $T^2/\mathbb Z_4$. We show that the model can realize grand unification of the Standard Model gauge interactions and electroweak symmetry breaking via the Hosotani mechanism. The model has several attractive features. Two Higgs doublets arise as zero modes of the extra-dimensional components of the gauge field, and the leptons and quarks in each generation are separately embedded into two bulk multiplets, in the ${\bf 36}$ and ${\bf 84}$ representations of SU(9), respectively, without exotic matter. Furthermore, proton decay processes mediated by the gauge bosons in the bulk are absent, because the leptons and quarks belong to different bulk multiplets.
Comments37 pages, 4 figures
