Classification of minimal Abelian Coulomb branches

IF 5 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2025-06-25 DOI:10.1103/physrevd.111.125020

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

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引用次数: 0

Abstract

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.

Published by the American Physical Society

2025

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最小阿贝尔库仑分支的分类

得到库仑分支具有孤立奇点的三维N=4振子的分类，是理解任意维度8超对称场论真空模空间的重要步骤。在本文中，我们导出了任意电荷的阿贝尔颤振的完全分类，并将所有可能的库仑分支几何标识为Hn × U(1)的商或有限循环群。我们给出了两个证明，一个使用“衰变和裂变”算法，另一个只依赖于涉及三维镜像对称的显式计算。在此过程中，我们提出了一种对任意U(1)r规范理论中离散规范因子敏感的三维镜像计算方法。这构成了对衰变和裂变算法的确认。2025年由美国物理学会出版

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.