Quiver Subtraction on the Higgs Branch

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 emer...

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Published inarXiv.org
Main Authors Bennett, Sam, Hanany, Amihay, Kumaran, Guhesh, Li, Chunhao, Liu, Deshuo, Sperling, Marcus
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 24.09.2024
Subjects
Algorithms
Gauge theory
Lie groups
Subtraction
Symmetry
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Abstract 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.
AbstractList 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.
Author Sperling, Marcus
Kumaran, Guhesh
Liu, Deshuo
Bennett, Sam
Li, Chunhao
Hanany, Amihay
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Snippet This paper classifies all Higgs branch Higgsing patterns for simply-laced unitary quiver gauge theories with eight supercharges (including multiple loops) and...
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SubjectTerms Algorithms
Gauge theory
Lie groups
Subtraction
Symmetry
Title Quiver Subtraction on the Higgs Branch
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