标题： 从广义分数量子霍尔效应探测标准模型规范群 显示英文标题

标题： Detecting Standard Model Gauge Group from Generalized Fractional Quantum Hall Effect

摘要： 粒子物理学的标准模型是描述自然基本运作的最深刻且最成功的框架之一。 然而，标准模型规范群的整体形式仍然是一个悬而未决的问题：它可以是$\left(SU(3)_C\times SU(2)_W\times U(1)_Y\right)/\Gamma$带有$\Gamma=1,\mathbb{Z}_2,\mathbb{Z}_3$或$\mathbb{Z}_6$。 这项工作引入了涉及$U(1)$B-L 对称性和可重整化标准模型$U(1)$的一维磁对称性的分数拓扑输运系数$\xi$，并表明它区分了标准模型规范群的整体形式。 规范群完全由$\xi$的特定值确定，这也取决于 B-L 对称性在标准模型上的作用选择，称为分数化类。 此输运系数可以在 B-L 对称流电流与标准模型的一维磁对称流电流的两点函数的接触项中测量。 这与分数量子霍尔效应中的拓扑输运相对应，夸克和B-L对称性分别扮演任意子和电磁全局对称性$U(1)$的角色。 显示英文摘要

摘要： The Standard Model of particle physics stands as one of the most profound and successful frameworks for describing the fundamental workings of nature. The global form of the Standard Model gauge group, however, remains an open question: it can be $\left(SU(3)_C\times SU(2)_W\times U(1)_Y\right)/\Gamma$ with $\Gamma=1,\mathbb{Z}_2,\mathbb{Z}_3$ or $\mathbb{Z}_6$. The work introduces the fractional topological transport coefficient $\xi$ involving the $U(1)$ B-L symmetry and the $U(1)$ one-form magnetic symmetry of the renormalizable Standard Model, and show that it distinguishes the global form of the Standard Model gauge group. The gauge group is fully determined for specific values of $\xi$, which also depends on the choice of action of the B-L symmetry on the Standard Model known as a fractionalization class. This transport coefficient can be measured in a contact term for the two-point function of the B-L symmetry current with the magnetic one-form symmetry current of the Standard Model. This parallels topological transport in the Fractional Quantum Hall Effect, with quarks and the B-L symmetry playing the role of anyons and the $U(1)$ electromagnetic global symmetry respectively.