论文标题
RG流的层次结构6D $（1,0）$ ORBI-INSTANTONS
Hierarchy of RG flows in 6d $(1,0)$ orbi-instantons
论文作者
论文摘要
$ n $ M5-branes探测orbifold $ \ mathbb {c}^2/γ_\ text {ade} $与$ e_8 $ wall之间的交集，从而产生6d $（1,0）$ scfts，称为ade-type type type orbi-instantans。在固定的$ n $和orbifold的顺序上，$ \ text {hom}的每个元素（γ_\ text {ade}，e_8），e_8）$定义了不同的scft。 SCFT由Higgs分支RG流连接，这通常会减少UV固定点的风味对称性。我们确定A类型A的这些RG流的完整层次结构，即$ \ Mathbb {C}^2/\ Mathbb {Z} _K $，对于$ n $和$ k $的任何值。层次结构采用复杂的Hasse图的形式：每个节点代表IR Orbi-Instanton（同构），每个边缘的允许流量与6D $ a $ a-theorem兼容。部分顺序是通过与6D SCFT相关的3D磁颤动的箭量减法来定义的，这等同于在同构之间执行所谓的Kraft-Procesi过渡。
$N$ M5-branes probing the intersection between the orbifold $\mathbb{C}^2/Γ_\text{ADE}$ and an $E_8$ wall give rise to 6d $(1,0)$ SCFTs known as ADE-type orbi-instantons. At fixed $N$ and order of the orbifold, each element of $\text{Hom}(Γ_\text{ADE},E_8)$ defines a different SCFT. The SCFTs are connected by Higgs branch RG flows, which generically reduce the flavor symmetry of the UV fixed point. We determine the full hierarchy of these RG flows for type A, i.e. $\mathbb{C}^2/\mathbb{Z}_k$, for any value of $N$ and $k$. The hierarchy takes the form of an intricate Hasse diagram: each node represents an IR orbi-instanton (homomorphism), and each edge an allowed flow, compatibly with the 6d $a$-theorem. The partial order is defined via quiver subtraction of the 3d magnetic quivers associated with the 6d SCFTs, which is equivalent to performing a so-called Kraft-Procesi transition between homomorphisms.
