Quiver subtraction on the Higgs branch

被引：0
作者：
Bennett, Sam [1 ]
Hanany, Amihay [1 ]
Kumaran, Guhesh [1 ]
Li, Chunhao [1 ]
Liu, Deshuo [1 ]
Sperling, Marcus [2 ]
机构：
[1] Imperial Coll London, Blackett Lab, Theoret Phys Grp, Prince Consort Rd, London SW7 2AZ, England
[2] Univ Wien, Fak Phys, Boltzmanngasse 5, A-1090 Vienna, Austria
来源：
NUCLEAR PHYSICS B | 2025年 / 1016卷
基金：
奥地利科学基金会;
关键词：
N=4 GAUGE-THEORIES; MATHEMATICAL DEFINITION; POISSON DEFORMATIONS; COULOMB BRANCHES; VARIETIES; SYMMETRY;
D O I：
10.1016/j.nuclphysb.2025.116917
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
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 F4 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.
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页数：44
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