扩展$\mathcal{N}$的范围=2个1级SCFT
Expanding the landscape of $\mathcal{N}$=2 rank 1 SCFTs
摘要：
我们完善我们以前的建议，系统地分类四维秩1 $\mathcal N=2$ SCFT通过构建其可能的库仑分支几何形状。最近讨论的四个新的秩1理论，包括新的$\mathcal{N}=3$ SCFT，在我们完善的分类框架中坐得很漂亮。通过论证它们的RG流的一致性，我们可以有力地证明至少存在四个额外的秩1 SCFT，几乎是已知秩1 SCFT数量的两倍。的改进包括放松的假设，风味对称的SCFT没有离散的因素。这导致可能的秩-1 SCFT的扩大的（但有限的）集合。它们的存在可以使用它们的中心荷和RG流的一致性来进一步约束。
英文摘要：
We refine our previous proposal for systematically classifying 4d rank-1 $\mathcal N=2$ SCFTs by constructing their possible Coulomb branch geometries. Four new recently discussed rank-1 theories, including novel $\mathcal{N}=3$ SCFTs, sit beautifully in our refined classification framework. By arguing for the consistency of their RG flows we can make a strong case for the existence of at least four additional rank-1 SCFTs, nearly doubling the number of known rank-1 SCFTs. The refinement consists of relaxing the assumption that the flavor symmetries of the SCFTs have no discrete factors. This results in an enlarged (but finite) set of possible rank-1 SCFTs. Their existence can be further constrained using consistency of their central charges and RG flows.
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