论文标题
分类级别 - $ r $ $ \ MATHCAL {n} = 2 $ scfts。第一部分：扭曲分区功能和中央电荷公式
Towards the classification of rank-$r$ $\mathcal{N}=2$ SCFTs. Part I: twisted partition function and central charge formulae
论文作者
论文摘要
我们得出明确的公式，以计算$ a $ a和$ c $中心费用的四维$ \ mathcal {n} = 2 $ supercongron -grom -grom -grom -grom -grom -grom -grom -grom -grom -grom -grounderfiend field Theories（SCFTS）直接从相关数量中。该公式适用于任意等级。我们还发现了$ \ Mathcal {n} = 2 $ scfts的低能限制行为的一般属性，这些风味对称性与我们的$ \ Mathcal {n} = 2 $ uv-ir简单的风味条件达到顶点。这是通过精确确定4D $ \ MATHCAL {N} = 2 $ scfts的拓扑扭曲版本的分区函数的积分函数与库仑分支的单数基因座之间的关系来完成的。这里开发的技术广泛应用于同伴论文中的许多等级2 SCFT，包括新的SCFT。
We derive explicit formulae to compute the $a$ and $c$ central charges of four dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) directly from Coulomb branch related quantities. The formulae apply at arbitrary rank. We also discover general properties of the low-energy limit behavior of the flavor symmetry of $\mathcal{N}=2$ SCFTs which culminate with our $\mathcal{N}=2$ UV-IR simple flavor condition. This is done by determining precisely the relation between the integrand of the partition function of the topologically twisted version of the 4d $\mathcal{N}=2$ SCFTs and the singular locus of their Coulomb branches. The techniques developed here are extensively applied to many rank-2 SCFTs, including new ones, in a companion paper.
