论文标题
四面体对称a $ _ {\ bf 4} $ in Anti-Su（5）肠道
Tetrahedral Symmetry A$_{\bf 4}$ in Anti-SU(5) GUT
论文作者
论文摘要
我们在具有四面体对称性$ a_4 $的抗SU（5）肠道中构建了一种风味模型。我们选择一个基础，其中$ q_ {text {em}} = - \ frac13 $ quarks和带电的瘦素已经是质量特征。从$ A_4 $对称性中可以选择此选择。 Then, matter representation $\overline{10}_{-1}^{\rm\, matter}$ contains both a quark doublet and a heavy neutrino $N$, which enables us to use the $A_4$ symmetry to both $Q_{text{em}}=+\frac23$ quark masses and neutrino masses (through the see-saw via $N$).之所以成为可能，是因为抗SU（5）破裂是通过Higgs字段转变为SU（5），$ \ overline {10} _ { - 1}^h \ oplus 10 _ {+1}^h $的抗对称表示，降低了排名-5抗Su（5）组的组模型。对于可能的质量矩阵，得出了在现场理论级别上质量矩阵的$ A_4 $对称预测。最后，提出了字符串紧凑型的插图。
We construct a flavor model in an anti-SU(5) GUT with a tetrahedral symmetry $A_4$. We choose a basis where $Q_{text{em}}=-\frac13$ quarks and charged leptons are already mass eigenstates. This choice is possible from the $A_4$ symmetry. Then, matter representation $\overline{10}_{-1}^{\rm\, matter}$ contains both a quark doublet and a heavy neutrino $N$, which enables us to use the $A_4$ symmetry to both $Q_{text{em}}=+\frac23$ quark masses and neutrino masses (through the see-saw via $N$). This is made possible because the anti-SU(5) breaking is achieved by the Higgs fields transforming as anti-symmetric representations of SU(5), $\overline{10}_{-1}^H\oplus 10_{+1}^H$, reducing the rank-5 anti-SU(5) group down to the rank-4 standard model group \smg. For possible mass matrices, the $A_4$ symmetry predictions on mass matrices at field theory level are derived. Finally, an illustration from string compactification is presented.
