幂零Higgsing在S类中的两个应用
Two Applications of Nilpotent Higgsing in Class-S
摘要：
在S类理论中引入了一类Higgs分支RG流，它在相同ADE类型的$d=4$ $\mathcal{N}=2$ SCFT之间流动。我们讨论了这类RG流的两个应用：1）确定SCFT中的当前代数水平，它们以前是未知的-一个程序，我们进行了类型$E_6$和$E_7$的S类理论-和2）构建大量的例子对$\mathcal{N}=2$ SCFT的“传统不变量”一致。我们反驳了[1]的猜想，即味对称群的整体形式是确定两个这样的理论同构的可靠诊断。
英文摘要：
We introduce a class of Higgs-branch RG flows in theories of class-S, which flow between $d=4$ $\mathcal{N}=2$ SCFTs of the same ADE type. We discuss two applications of this class of RG flows: 1) determining the current-algebra levels in SCFTs where they were previously unknown - a program we carry out for the class-S theories of type $E_6$ and $E_7$ - and 2) constructing a multitude of examples of pairs of $\mathcal{N}=2$ SCFTs whose "conventional invariants" coincide. We disprove the conjecture of [1] that the global form of the flavour symmetry group is a reliable diagnostic for determining when two such theories are isomorphic.
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