Actions on the quiver: discrete quotients on the Coulomb branch

Amihay Hanany, Guhesh Kumaran, Chunhao Li, Deshuo Liu (Corresponding author), Marcus Sperling

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Abstract

This paper introduces two operations in quiver gauge theories. The first operation, collapse, takes a quiver with a permutation symmetry Sn and gives a quiver with adjoint loops. The corresponding 3d N = 4 Coulomb branches are related by an orbifold of Sn. The second operation, multi-lacing, takes a quiver with n nodes connected by edges of multiplicity k and replaces them by n nodes of multiplicity qk. The corresponding Coulomb branch moduli spaces are related by an orbifold of type ℤqn−1. Collapse generalises known cases that appeared in the literature [1–3]. These two operations can be combined to generate new relations between moduli spaces that are constructed using the magnetic construction.
Original languageEnglish
Article number318
Number of pages50
JournalJournal of High Energy Physics
Volume2024
Issue number5
DOIs
Publication statusPublished - May 2024

Austrian Fields of Science 2012

  • 103012 High energy physics

Keywords

  • Brane Dynamics in Gauge Theories
  • Discrete Symmetries
  • Supersymmetric Gauge Theory
  • Supersymmetry and Duality

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