论文标题
八月：标准模型的$ e_8 $描述
Octions: An $E_8$ description of the Standard Model
论文作者
论文摘要
我们将异常的谎言代数$ \ mathfrak {e} _ {8（-24）} $解释为标准模型中的对象，包括Lepton和Quark Spinors具有通常的属性，标准模型lie algebra $ \ mathfrak $ \ mathfrak {su}（su}（su}） lorentz lie代数$ \ mathfrak {so}（3,1）$。我们的构造依赖于确定旋转器上的复杂结构，然后在包围代数中工作。最终的模型自然包含基于$（10）$（Georgi-glashow），$ SU（5）$（Georgi）和$ SU（4）\ Times SU（2）\ Times SU（2）su（2）$（Pati-Salam）的胆量。然后，我们简要猜测$ \ mathfrak {e} _8 $的其余元素的作用，并提出一种机制，导致恰好三代粒子。
We interpret the elements of the exceptional Lie algebra $\mathfrak{e}_{8(-24)}$ as objects in the Standard Model, including lepton and quark spinors with the usual properties, the Standard Model Lie algebra $\mathfrak{su}(3)+\mathfrak{su}(2)+\mathfrak{u}(1)$, and the Lorentz Lie algebra $\mathfrak{so}(3,1)$. Our construction relies on identifying a complex structure on spinors and then working in the enveloping algebra. The resulting model naturally contains GUTs based on $SO(10)$ (Georgi--Glashow), $SU(5)$ (Georgi), and $SU(4)\times SU(2)\times SU(2)$ (Pati--Salam). We then briefly speculate on the role of the remaining elements of $\mathfrak{e}_8$, and propose a mechanism leading to exactly three generations of particles.
