Classification of minimal Abelian Coulomb branches

Autor(en)

Antoine Bourget, Quentin Lamouret, Sinan Moura Soysüren, Marcus Sperling

Abstrakt

Obtaining the classification of three-dimensional (3D) N=4 quivers whose Coulomb branches have an isolated singularity is an essential step in understanding moduli spaces of vacua of supersymmetric field theories with eight supercharges in any dimension. In this work, we derive a full classification for such Abelian quivers with arbitrary charges and identify all possible Coulomb branch geometries as quotients of Hn by U(1) or a finite cyclic group. We give two proofs, one which uses the "decay and fission"algorithm and another one relying only on explicit computations involving 3D mirror symmetry. In the process, we put forward a method for computing the 3D mirror of any U(1)r gauge theory, which is sensitive to discrete gauge factors in the mirror theory. This constitutes a confirmation for the decay and fission algorithm.

Organisation(en)

Mathematische Physik

Externe Organisation(en)

Université Paris Saclay

Journal

Physical Review D

Band

111

Anzahl der Seiten

27

ISSN

2470-0010

DOI

https://doi.org/10.48550/arXiv.2412.19766

Publikationsdatum

06-2025

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/3049edd8-636f-41f3-b17d-438821350494