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Classifying Isolated Symplectic Singularities via 3d $\mathcal{N}=4$ Coulomb Branches

High Energy Physics - Theory 2025-04-09 v1 Mathematical Physics Algebraic Geometry math.MP

Abstract

Based on the Decay and Fission Conjecture, we provide a classification of unitary quivers whose 3d N=4\mathcal{N}=4 Coulomb branches exhibit isolated singularities. This yields the complete list of isolated conical symplectic singularities that can arise in this way. In the process, we identify three new families of stable quivers: two giving rise to previously unknown isolated symplectic singularities, and one offering a novel realization of a known family.

Cite

@article{arxiv.2504.05373,
  title  = {Classifying Isolated Symplectic Singularities via 3d $\mathcal{N}=4$ Coulomb Branches},
  author = {Antoine Bourget and Quentin Lamouret and Sinan Moura Soysüren and Marcus Sperling},
  journal= {arXiv preprint arXiv:2504.05373},
  year   = {2025}
}

Comments

v1: 14 pages

R2 v1 2026-06-28T22:49:52.211Z