标题： 简化类型$A$阿格里尔斯-道格拉斯景观 显示英文标题

标题： Simplifying the Type $A$ Argyres-Douglas Landscape

摘要： 一个为四维阿格里亚斯-道格拉斯型$\mathcal{N}=2$超共形场理论建立的组织原则是通过定义在$\mathbb{CP}^1$上的（不规则）希钦系统数据来表征此类理论。 希钦系统数据与相应SCFT的各种特征之间的对应关系已经得到了广泛研究，但由此产生的SCFT空间的整体结构仍然显得相当复杂。 在本工作中，我们系统地描述了由于与不同希钦系统数据（以及它们的精确边缘规范化的）相关的SCFT之间存在多个大类的同构而在此类构造中出现的各种简化。 我们仅限于研究最广泛的理论类别，即没有外自同构扭变的类型$A$理论。 显示英文摘要

摘要： A well-established organisational principle for Argyres--Douglas-type $\mathcal{N}=2$ superconformal field theories in four dimensions is to characterise such theories by the data defining a(n irregular) Hitchin system on $\mathbb{CP}^1$. The dictionary between Hitchin system data and various features of the corresponding SCFT has been studied extensively, but the overall structure of the resulting space of SCFTs still appears quite complicated. In this work, we systematically delineate a variety of simplifications that arise within this class of constructions due to several large classes of isomorphisms between SCFTs associated with inequivalent Hitchin system data (and their exactly marginal gaugings). We restrict to the most studied class of theories, namely the type $A$ theories without outer automorphism twists.