论文标题
$ e_8 $理论中的当前代数级别
Current Algebra Levels in the $E_8$ Theory
论文作者
论文摘要
在\ cite {chacaltana：2018vhp}中分析了类型$ e_8 $的类理论。基本的构建块由49,836个孤立的SCFT（三函数球）组成。在244例情况下，有未确定的水平用于对称性电流代数。在这里，我们纠正了这种遗漏。使用s偶尔和nilpotent higgsing，我们计算了244个中的235个水平。仍有9个三函数的球体，其水平未知。在此过程中，我们提供了有关VOA的Drinfeld-Sokolov减少的详细讨论，该讨论捕获了Higgs分支RG流的各种特征，该功能是从提供VEV到Nilpotent Moment Map的。
The class-S theories of type $E_8$ were analyzed in \cite{Chacaltana:2018vhp}. The basic building blocks consisted of 49,836 isolated SCFTs (three-punctured spheres). In 244 cases, there were undetermined levels for the flavour symmetry current algebra. Here, we rectify that omission. Using S-duality and nilpotent Higgsing we compute the levels of 235 of the 244. There remain 9 three-punctured spheres with unknown levels. Along the way, we provide a detailed discussion of the Drinfeld-Sokolov reduction of the VOA, which captures various features of the Higgs branch RG flows arising from giving a VEV to a nilpotent moment map.
