arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.03048hep-ph
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家庭和部队的特殊统一

Exceptional Unification of Families and Forces

Alfredo Aranda, Francisco J. de Anda, Stephen F. King

摘要:

这项工作考虑了一个值得注意的建议,即三个家庭的夸克和轻子可以统一,与希格斯和规范场的标准模型(SM),到一个单一的“粒子”,即$\textbf{248}$矢量超场的10维$E_8$超杨米尔斯(SYM)理论。朝着一个现实的模型沿着这些线,一类orbifoldings的基础上$T^6/(\mathbb{Z}_N\times \mathbb{Z}_M)$的建议和探索,可以在原则上打破$E_8$ SYM到最小的超对称标准模型(MSSM),嵌入在一个更大的群体,如$E_6$,$SO(10)$或$SU(5)$,连同其他规范组因子,可以打破威尔逊线。提出了一种基于$T^6/(\mathbb{Z}_6\times \mathbb{Z}_2)$的真实感模型。轨道折叠将$E_8$ SYM分解为4d的Pati-Salam规范群,与其他规范群一起,这些规范群被右手中微子方向的威尔逊线进一步分解为SM,产生了原始真实的费米子质量矩阵,以及与低Pati-Salam规范群破坏尺度相关的实验信号。

英文摘要:

This work considers the remarkable suggestion that the three families of quarks and leptons may be unified, together with the Higgs and gauge fields of the Standard Model (SM), into a single "particle", namely the $\textbf{248}$ vector superfield of a ten-dimensional $E_8$ super Yang Mills (SYM) theory. Towards a realistic model along these lines, a class of orbifoldings based on $T^6/(\mathbb{Z}_N\times \mathbb{Z}_M)$ are proposed and explored, that can in principle break $E_8$ SYM down to the minimal supersymmetric standard model (MSSM), embedded in a larger group such as $E_6$, $SO(10)$ or $SU(5)$, together with other gauge group factors which can be broken by Wilson lines. A realistic model based on $T^6/(\mathbb{Z}_6\times \mathbb{Z}_2)$ is presented. The orbifold breaks $E_8$ SYM down to a Pati-Salam gauge group in 4d, together with other gauge groups, which are further broken to the SM by Wilson lines in the right-handed sneutrino directions, yielding proto-realistic fermion mass matrices, and experimental signals associated with a low Pati-Salam gauge group breaking scale.

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