论文标题
等级的分类一个5D $ \ MATHCAL {N} = 1 $和6D $（1,0）$ SCFTS
Classification of rank one 5d $\mathcal{N}=1$ and 6d $(1,0)$ SCFTs
论文作者
论文摘要
本文对等级的分类为5D $ \ MATHCAL {N} = 1 $和6D $（1,0）$ scfts。这个想法是在$ s^1 $和6D理论上压实$ t^2 $的5D理论，以获得有效的4D $ \ nathcal {n} = 2 $理论。这些压实理论都具有4D $ \ MATHCAL {N} = 2 $ COULOMB分支，其解决方案可以通过混合Hodge模块（MHM）描述。在等级的情况下，每个库仑分支解决方案都与一个分类完整的部分有关。因此，通过施加各种物理约束，将分类减小以从有理椭圆表面的数据库中获取子集。至关重要的新意见是，无穷大的奇异纤维决定了紫外线理论的哪个维度。研究了各种物理特性，例如风味对称性，一种形式对称性，bps颤动和BPS谱以及RG流。发现这些理论的D7 Brane配置在研究它们方面非常有用。对高级理论的概括也将得到强调。
This paper gives a classification of rank one 5d $\mathcal{N}=1$ and 6d $(1,0)$ SCFTs. The idea is to compactify 5d theory on $S^1$ and 6d theory on $T^2$ to get effective 4d $\mathcal{N}=2$ theory. These compactified theories all have a 4d $\mathcal{N}=2$ Coulomb branch whose solution can be described by mixed Hodge module (MHM). In the rank one case every Coulomb branch solution is related to rational elliptic surface with a section, whose classification is complete. So the classification is then reduced to pick up a subset from the data base of rational elliptic surface by imposing various physical constraints. The crucial new input is that the singular fiber at infinity determines which dimension the UV theory lives. Various physical properties such as flavor symmetry, one form symmetry, BPS quiver and BPS spectrum, and RG flow are studied. D7 brane configurations for those theories are found which are very useful in studying them. The generalizations to higher rank theories will also be highlighted.
