论文标题
手性阿贝利安仪表理论很少
Chiral Abelian gauge theories with few fermions
论文作者
论文摘要
我们构建具有最小数量的Weyl Fermions的手性理论，该理论在各种Abelian仪表组下形成无异常的套件。对于$ u（1）$组，其中$n_χ= 5 $，我们表明对异常方程的一般解决方案是三个整数参数中立方多项式给出的一组费用。对于$ u（1）\ times u（1）$量规组，我们找到$n_χ= 6 $，并根据6个参数得出了异常方程的一般解决方案。对于$ u（1）\ times u（1）\ times u（1）$，我们表明$n_χ= 8 $，并提供了一些解决方案。这些手性量表理论在暗物质模型，右手中微子相互作用以及标准模型的其他扩展方面具有潜在的应用。例如，我们提供一个简单的黑暗区域，在三个暗物质组件之间具有自然的质量层次结构。
We construct chiral theories with the smallest number $n_χ$ of Weyl fermions that form an anomaly-free set under various Abelian gauge groups. For the $U(1)$ group, where $n_χ= 5$, we show that the general solution to the anomaly equations is a set of charges given by cubic polynomials in three integer parameters. For the $U(1) \times U(1)$ gauge group we find $n_χ= 6$, and derive the general solution to the anomaly equations, in terms of 6 parameters. For $U(1) \times U(1) \times U(1)$ we show that $n_χ= 8$, and present some families of solutions. These chiral gauge theories have potential applications to dark matter models, right-handed neutrino interactions, and other extensions of the Standard Model. As an example, we present a simple dark sector with a natural mass hierarchy between three dark matter components.
