标题： 简化类型$A$的Argyres-Douglas景观 显示英文标题

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

摘要： 一个已确立的组织原则用于四维Argyres--Douglas型$\mathcal{N}=2$超共形场理论，是通过定义在$\mathbb{CP}^1$上的（不规则）Hitchin系统的数据来表征此类理论。Hitchin系统数据与相应SCFT的各种特征之间的对应关系已被广泛研究，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非等价Hitchin系统数据（及其精确边缘规范化的）相关的SCFT的若干大类同构而在此类构造中出现的各种简化。我们仅限于最常研究的理论类别，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.