论文标题
四面体的四面体：三个统治它们的三个
Tetrahedron of flavors: One Three to rule them all
论文作者
论文摘要
在这样的概念的概念：三大家庭家庭必须与伴随单个家庭宏伟的统一群体结构的所有其他三分组具有相同的规格理论来源，我们将其交易trinification $ su（3）$ symetry buildry Builder block in Smii-Simple垂直垂直 - 垂直 - 垂直 - 霍尼四型 - - 霍尔多利克斯式对称性$ su（3）_v \ otimes su（3）_V \ oute su（3）然后，通过将每个标准的$ V $ -Triplet（和Anti Anti Triplet）视为$ h $ -singlet，并通过将每个标准$ v $ -V $ -Singlet转换为$ h $ -triplet（或Anti triplet（or Anti triplet）（or Anti triplet（or Anti triplet）），则通过将每个标准$ V $ -Triplet（和Anti Anti）视为$ h $ -singlet，将无异常的风味手续费用表示形式构建，仅由三分之二而没有任何多余的复制。该模型可以通过四面体的四面体来示意性地描述。该模型在其双三层化阶段中展示了两个耦合的三位化循环，共享相同的颜色群，并伴随着一个内置的黑暗扇区。该模型在其同构四重化阶段中提出了一种新型的非Pati-Salam版本的Quark/Lepton对应关系，其中夸克与反Leptons配对以取消水平异常，所有费米子质量源自一个和相同的Yukawa源。
Under the conception that the total number three of fermion families must have the one and the same gauge theoretical origin as all other threes which accompany the single family grand unifiable group structure, we trade the trinification $SU(3)$ symmetry building block for its semi-simple Vertical-Horizontal symmetric $SU(3)_V \otimes SU(3)_H$ extension. The anomaly free flavor-chiral fermion representation is then constructed, solely out of threes and without any superfluous replication, by treating each standard $V$-triplet (and anti triplet) as an $H$-singlet, and conversely, by letting each standard $V$-singlet transform as an $H$-triplet (or anti triplet). The model can be schematically described by a tetrahedron of flavors. In its bi-trinification phase, the model exhibits two coupled trinification cycles, sharing the same color group, and is furthermore accompanied by a built-in dark sector. In its isomorphic quartification phase, the model presents a novel non-Pati-Salam version of quark/lepton correspondence, where quarks are paired with anti-leptons to cancel horizontal anomalies, and all fermion masses stem from one and the same Yukawa source.
