标题： 箭头减法在Higgs分支上 显示英文标题

标题： Quiver Subtraction on the Higgs Branch

摘要： 本文分类了所有具有八个超电荷的单根酉(quiver)规范理论(包括多环)的Higgs分支Higgsing模式，并引入了一种Higgs分支减法算法。 给出了所有可能的最小转换，识别了在Higgs分支和Coulomb分支上出现的切片之间的差异。 特别是，该算法对包括单色和Namikawa-Weyl群在内的全局信息敏感。 在辛对偶性的指导下，该算法进一步确定了Coulomb分支上的全局对称性，并验证了(simply-laced)酉quiver规范理论中排除$C$类型或$F_4$全局对称性。 一些酉quiver的Higgs分支被验证为给出例外简单李代数的幂零锥中的切片。 显示英文摘要

摘要： This paper classifies all Higgs branch Higgsing patterns for simply-laced unitary quiver gauge theories with eight supercharges (including multiple loops) and introduces a Higgs branch subtraction algorithm. All possible minimal transitions are given, identifying differences between slices that emerge on the Higgs and Coulomb branches. In particular, the algorithm is sensitive to global information including monodromies and Namikawa-Weyl groups. Guided by symplectic duality, the algorithm further determines the global symmetry on the Coulomb branch, and verifies the exclusion of $C$ type or $F_4$ global symmetry for (simply-laced) unitary quiver gauge theories. The Higgs branches of some unitary quivers are verified to give slices in the nilpotent cones of exceptional simple Lie algebras.