论文标题
分区代数对称性破坏
Division algebraic symmetry breaking
论文作者
论文摘要
根据规范的分区代数重塑某些众所周知的粒子模型，为BSM物理学带来了两个新的结果。 （1）我们确定了一系列复杂结构的序列，该结构诱导了一系列破裂对称性：旋转（10）$ \ mapsto $ pati-salam $ \ mapsto $左右对称$ \ mapsto $ mapsto $标准模型 + b-l（pre-higgs-mechanism和higgs-mechanism）。这些复杂的结构源自八元，然后源自四元素，然后源自副本。 （2）我们也是第一次提供的，我们首次提供了由Quaternionic Triality，Tri（$ \ Mathbb {h} $）引起的左右对称HIGGS表示的明确演示。 $ su（2）_r $中断后，我们的希格斯将其减少到熟悉的标准模型higgs。
Reframing certain well-known particle models in terms of normed division algebras leads to two new results for BSM physics. (1) We identify a sequence of complex structures which induces a cascade of breaking symmetries: Spin(10) $\mapsto$ Pati-Salam $\mapsto$ Left-Right symmetric $\mapsto$ Standard model + B-L (both pre- and post-Higgs-mechanism). These complex structures derive from the octonions, then from the quaternions, then from the complex numbers. (2) We provide, also for the first time we believe, an explicit demonstration of left-right symmetric Higgs representations stemming from quaternionic triality, tri($\mathbb{H}$). Upon the breaking of $su(2)_R$, our Higgs reduces to the familiar standard model Higgs.
