Quiver subtraction on the Higgs branch

Autor(en)

Sam Bennett, Amihay Hanany, Guhesh Kumaran, Chunhao Li, Deshuo Liu, Marcus Sperling

Abstrakt

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.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Imperial College London

Journal

Nuclear Physics B

Band

1016

Anzahl der Seiten

44

ISSN

0550-3213

DOI

https://doi.org/10.48550/arXiv.2409.16356

Publikationsdatum

07-2025

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/13dd66f0-c2d0-4196-8f75-237bb8b2574e