论文标题
Nilpotent Higgsing在S类中的两个应用
Two Applications of Nilpotent Higgsing in Class-S
论文作者
论文摘要
我们引入了一类Higgs-Branch RG在类中的理论中，该课程在$ d = 4 $ $ $ \ MATHCAL {n} = 2 $ scfts之间流动相同的ADE类型。我们讨论了此类RG流量的两个应用：1）确定以前未知的SCFT中的当前代数水平 - 我们针对类型$ e_6 $和$ e_6 $和$ e_7 $和$ e_7 $和$ e_7 $和2的程序进行了一个程序，构建了$ \ mathcal {n} = 2 $ scfts的$ scfts unconcyal's concoment conconction coccons con的$ \ scalcal concoins of con的$ e_7 $ and 2）我们反驳了[1]的猜想，即风味对称组的全局形式是确定何时何时同构的可靠诊断。
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.
