论文标题
$ \ MATHCAL {n} = 1 $类$ \ Mathcal {S} _K $的库仑和希格斯分支
The Coulomb and Higgs Branches of $\mathcal{N}=1$ Theories of Class $\mathcal{S}_k$
论文作者
论文摘要
即使对于通用$ \ nathcal {n} = 1 $理论，也无法将超对称性真空的不同分支分开，但在本文中，我们研究了一类特殊类别的$ \ nathcal {n} = 1 $ scfts，class $ \ nathcal {s}} _k $ cast $ scfts的这些可能是为了在collomb和guligs contrantive clurance and can $ \ Mathcal {n} = 2 $类$ \ Mathcal {s} $的理论从中降低。我们研究了使用超符号指数的不同限制以及Coulomb和Higgs分支希尔伯特系列的BPS操作员，这些BPS运算符为真空的这些分支进行参数。最后，有了我们开发的工具，我们提供了一项检查，即可以从类$ \ Mathcal {s} _k $中的圆环颤抖中解构六个维度$（1,1）$小字符串理论。
Even though for generic $\mathcal{N}=1$ theories it is not possible to separate distinct branches of supersymmetric vacua, in this paper we study a special class of $\mathcal{N}=1$ SCFTs, these of Class $\mathcal{S}_k$ for which it is possible to define Coulomb and Higgs branches precisely as for the $\mathcal{N}=2$ theories of Class $\mathcal{S}$ from which they descend. We study the BPS operators that parameterise these branches of vacua using the different limits of the superconformal index as well as the Coulomb and Higgs branch Hilbert Series. Finally, with the tools we have developed, we provide a check that six dimensional $(1,1)$ Little String theory can be deconstructed from a toroidal quiver in class $\mathcal{S}_k$
