论文标题
在低等级4D $ \ Mathcal {n} = 2 $ scfts
On low rank 4d $\mathcal{N}=2$ SCFTs
论文作者
论文摘要
构建4D $ \ MATHCAL {N} = 2 $超符合字段理论（SCFTS）的主要方法有两种：第一个将6D $（2,0）$理论放在刺穿的Riemann Surface（类理论）上，而第二个则将IIB类型的IIB弦理论放在3D Cannolical Sighularity上。由于对低级理论有兴趣，因此我们从上面的两个结构中搜索所有可能性。这些理论中的大多数都是由S-S理论设计的，具有不规则的奇异性，我们为理论等级找到了普遍的公式，因此可以进行完整的搜索。然后，我们计算了这些理论的各种物理量，例如中央电荷，风味对称性，相关的顶点操作员代数和希格斯分支等。我们结果的有趣后果之一是预测了许多2D Vertex Operator的新同构。
There are two major ways of constructing 4d $\mathcal{N}=2$ superconformal field theories (SCFTs): the first one is putting a 6d $(2,0)$ theory on a punctured Riemann surface (class-S theory), and the second one is putting type IIB string theory on a 3d canonical singularity. As there are interests on low rank theories, we search all the possibilities from above two constructions. Most of those theories are engineered by class-S theory with irregular singularities, and we find a universal formula for the rank of theory so that a complete search is possible. We then compute various physical quantities of those theories, such as the central charges, flavor symmetry, associated vertex operator algebra and Higgs branch, etc. One of interesting consequence of our results are the prediction of many new isomorphism of 2d vertex operator algebra.
