探索正辛动物园
Exploring the orthosymplectic zoo
摘要：
研究了5维SO（6）和SO（8）超多重态规范理论在旋量和矢量表象下SCFT极限的Higgs分支.在SO（6）规范理论的情况下，我们将得到的磁颤图与SU（4）规范理论在基本和二阶反对称表象下的磁颤图进行了对比.由于SU（4）规范理论承认Chern-Simons能级的几个不同值，我们对如何将这些理论与SO（6）理论的膜网区分开来做了一些观察。在SO（8）规范理论的情况下，我们使用SO（8）triality（天真地）提出不等价的磁箭图，它们将被证明具有相同的真空模空间，至少局部地围绕它们最奇异的轨迹。我们遇到了一些有趣的新现象发生在磁颤动，如超多重相邻的辛规范节点和物质的酉节点的两个指数表示之间。我们也给出了一个计算包含坏USp（2）规范节点的箭图的局部库仑支希尔伯特级数的公式。
英文摘要：
We study the Higgs branch of the SCFT limit of 5d SO(6) and SO(8) gauge theory with hypermultiplets in the spinor and vector representations. In the case of SO(6) gauge theories, we contrast the magnetic quivers obtained with those of SU(4) gauge theory with hypermultiplets in the fundamental and second rank antisymmetric representations. Since SU(4) gauge theories admit several different values of the Chern-Simons level, we make some observations about how to distinguish those theories from the brane webs of the SO(6) theories. In the case of SO(8) gauge theories, we use SO(8) triality to propose (naively) inequivalent magnetic quivers, which will turn out to have the same moduli spaces of vacua, at least locally around their most singular loci. We encounter several interesting new phenomena occurring in the magnetic quivers, such as hypermultiplets between neighbouring symplectic gauge nodes and matter in two-index representations of unitary nodes. We also give a prescription for computing the local Coulomb branch Hilbert series for quivers involving bad USp(2) gauge nodes.
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