发表机构
Abdus Salam Centre for Theoretical Physics, The Blackett Laboratory, Imperial College London; Physique Théorique et Mathématique and International Solvay Institutes, Université Libre de Bruxelles; Deutsches Elektronen-Synchrotron DESY; Department of Physics and Astronomy, University of Pennsylvania; Department of Physics, University of Wisconsin–Madison（阿卜杜斯·萨拉姆理论物理中心，黑德实验室，帝国理工学院; 理论与数学物理及国际索尔维研究所，布鲁塞尔自由大学; 德国电子同步加速器 DESY; 宾夕法尼亚大学物理与天文学系; 威斯康星大学麦迪逊分校物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究5d秩一$E_n$ SCFT的离散对称性规范理论，利用环面多边形和膜网络识别对称性，构造缠绕磁箭图计算Hilbert级数，并修正磁单极公式，推测高秩扩展并验证于$E_6/\mathbb{Z}_2$。
AI 中文摘要
我们研究了5d秩一$E_n$ SCFT的离散对称性规范理论，这些对称性固定了Coulomb分支坐标，但在Higgs分支手性环上非平凡作用。利用广义环面多边形和$(p,q)$-膜网络，我们识别了模空间的对称性，这些对称性可扩展到完整SCFT的对称性。在许多情况下，它们是无反常的，我们分析了规范理论的模空间。我们将得到的Higgs分支商实现为缠绕磁箭图的Coulomb分支，并计算了它们的Hilbert级数；从矩映射中提取的味代数与$\mathfrak{e}_n$的不动点子代数一致。我们还将离散作用提升到Seiberg-Witten几何，并恢复了质量形变的预期限制。对于交换相邻规范节点的$\mathbb{Z}_2$缠绕，我们发现磁单极公式需要依赖于通量的符号，并提出了修正的处方。最后，我们推测了高秩扩展，并对其秩二$E_6/\mathbb{Z}_2$ Higgs分支进行了验证。
英文摘要
We study the gauging of discrete symmetries of the 5d rank-one $E_n$ SCFTs that fix the Coulomb branch coordinate but act nontrivially on the Higgs branch chiral ring. Using generalized toric polygons and $(p,q)$-brane webs, we identify symmetries of the moduli space that extend to symmetries of the full SCFT. In many cases they are non-anomalous, and we analyze the moduli space of the gauged theories. We realize the resulting Higgs branch quotients as Coulomb branches of wreathed magnetic quivers and compute their Hilbert series; the flavor algebras extracted from moment maps agree with the fixed-point subalgebras of $\mathfrak{e}_n$. We also lift the discrete actions to the Seiberg--Witten geometry and recover the expected restriction on the mass deformations. For $\mathbb{Z}_2$-wreathings that exchange adjacent gauge nodes, we find that the monopole formula requires a flux-dependent sign and propose a corrected prescription. Finally, we conjecture a higher-rank extension and verify it for the rank-two $E_6/\mathbb{Z}_2$ Higgs branch.
Comments94 pages + appendix + references
