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We study the vacuum structure of gauge theories with eight supercharges. It has been recently discovered that in the Higgs branch of $5d$ and $6d$ SQCD theories with eight supercharges, the new massless states, arising when the gauge…

高能物理 - 理论 · 物理学 2018-09-26 Santiago Cabrera , Amihay Hanany

We develop a classification of \emph{minimally unbalanced} $3d~\mathcal{N}=4$ quiver gauge theories. These gauge theories are important because the isometry group $G$ of their Coulomb branch contains a single factor, which is either a…

高能物理 - 理论 · 物理学 2019-03-27 Santiago Cabrera , Amihay Hanany , Anton Zajac

We present a new family of IR dualities in three space-time dimensions with eight supercharges. In contrast to 3d mirror symmetry, these dualities map Coulomb branches to Coulomb branches and Higgs branches to Higgs branches in the deep IR.…

高能物理 - 理论 · 物理学 2024-10-22 Anindya Dey

The study of Coulomb branches of 3-dimensional N=4 gauge theories via the associated Hilbert series, the so-called monopole formula, has been proven useful not only for 3-dimensional theories, but also for Higgs branches of 5 and…

高能物理 - 理论 · 物理学 2018-08-28 Amihay Hanany , Marcus Sperling

Five- and four-dimensional superconformal field theories with eight supercharges arise from canonical threefold singularities in M-theory and Type IIB string theory, respectively. We study their Coulomb and Higgs branches using crepant…

高能物理 - 理论 · 物理学 2021-12-02 Cyril Closset , Sakura Schafer-Nameki , Yi-Nan Wang

We propose a construction of the quantum-corrected Coulomb branch of a general 3d gauge theory with $\mathcal{N}=4$ supersymmetry, in terms of local coordinates associated with an abelianized theory. In a fixed complex structure, the…

高能物理 - 理论 · 物理学 2015-04-24 Mathew Bullimore , Tudor Dimofte , Davide Gaiotto

This is a supplement to [arXiv:1503.03676], where an approach towards a mathematically rigorous definition of the Coulomb branch of a $3$-dimensional $\mathcal N=4$ SUSY gauge theory was proposed. We ask questions on their expected…

数学物理 · 物理学 2026-05-12 Hiraku Nakajima

A distinctive duality present in 3d $\mathcal{N}=4$ theories is the 3d mirror symmetry. Under this duality, the Coulomb (Higgs) branch of one theory corresponds to the Higgs (Coulomb) branch of its mirror dual. This paper is divided into…

高能物理 - 理论 · 物理学 2024-11-25 Zhenghao Zhong

We present an algorithm to extract the Coulomb branch Hasse diagram of orthosymplectic 3d $\mathcal{N}=4$ quiver gauge theories. The algorithm systematically predicts all descendant theories arising from Coulomb branch Higgsing, thereby…

高能物理 - 理论 · 物理学 2024-12-20 Craig Lawrie , Lorenzo Mansi , Marcus Sperling , Zhenghao Zhong

We study (non-renormalizable) five dimensional supersymmetric field theories. The theories are parametrized by quark masses and a gauge coupling. We derive the metric on the Coulomb branch exactly. We use stringy considerations to learn…

高能物理 - 理论 · 物理学 2009-09-15 Nathan Seiberg

We solve a long standing problem on the computation of the Higgs branch $\mathcal{H}$ of linear quivers with 8 supercharges and with both unitary and special unitary gauge nodes. The solution uses the concept of magnetic quivers, where…

高能物理 - 理论 · 物理学 2022-08-24 Antoine Bourget , Julius F. Grimminger , Amihay Hanany , Rudolph Kalveks , Zhenghao Zhong

The physics of M5 branes placed near an M9 plane on an A-type ALE singularity exhibits a variety of phenomena that introduce additional massless degrees of freedom. There are tensionless strings whenever two M5 branes coincide or whenever…

高能物理 - 理论 · 物理学 2019-08-13 Santiago Cabrera , Amihay Hanany , Marcus Sperling

Three-dimensional supersymmetric gauge theories with eight supercharges possess a unique duality known as 3d mirror symmetry. Under this correspondence, the Coulomb branch of one theory is equivalent to the Higgs branch of its mirror dual,…

高能物理 - 理论 · 物理学 2026-03-31 Leyi Jiang , Jazz E. Z. Ooi , Richard Stone , Zhenghao Zhong

We study the moduli space of 3d $\mathcal{N}=4$ quiver gauge theories with unitary, orthogonal and symplectic gauge nodes, that fall into exceptional sequences. We find that both the Higgs and Coulomb branches of the moduli space factorise…

高能物理 - 理论 · 物理学 2021-06-04 Mohammad Akhond , Federico Carta , Siddharth Dwivedi , Hirotaka Hayashi , Sung-Soo Kim , Futoshi Yagi

We describe how the geometry of the Higgs branch of 5d superconformal field theories is transformed under movement along the extended Coulomb branch. Working directly with the (unitary) magnetic quiver, we demonstrate a correspondence…

高能物理 - 理论 · 物理学 2022-01-19 Marieke van Beest , Simone Giacomelli

We study Coulomb branch moduli spaces of a class of three dimensional $\mathcal{N}=4$ gauge theories whose quiver satisfies the balance condition. The Coulomb branch is described by dressed monopole operators which can be counted using the…

高能物理 - 理论 · 物理学 2017-01-17 Gong Cheng , Amihay Hanany , Yabo Li , Yidi Zhao

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…

高能物理 - 理论 · 物理学 2025-02-25 Sam Bennett , Amihay Hanany , Guhesh Kumaran , Chunhao Li , Deshuo Liu , Marcus Sperling

We derive the algebraic description of the Coulomb branch of 3d $\mathcal{N}=4$ $USp(2N)$ SQCD theories with $N_f$ fundamental hypermultiplets and determine their low energy physics in any vacuum from the local geometry of the moduli space,…

高能物理 - 理论 · 物理学 2018-08-15 Benjamin Assel , Stefano Cremonesi

We study the Coulomb-branch sector of 3D $\mathcal{N}=4$ gauge theories with half-hypermultiplets in general pseudoreal representations $\mathbf{R}$ ("noncotangent" theories). This yields (short) quantization of the Coulomb branch and…

高能物理 - 理论 · 物理学 2026-01-01 Mykola Dedushenko , Daniel Resnick

Using ideas from the gauge theory approach to the geometric Langlands program, we revisit supersymmetric localization with monopole operators in 3d $\mathcal{N} = 4$ supersymmetric gauge theories subject to $\Omega$-deformation. The key…

高能物理 - 理论 · 物理学 2024-12-25 Spencer Tamagni
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