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Related papers: Quiver Polymerisation

200 papers

Starting from mirror pairs consisting only of linear (framed A-type) quivers, we demonstrate that a wide class of three-dimensional quiver gauge theories with N=4 supersymmetry and their mirror duals can be obtained by suitably gauging…

High Energy Physics - Theory · Physics 2014-07-16 Anindya Dey , Amihay Hanany , Peter Koroteev , Noppadol Mekareeya

Folding identical legs of a simply-laced quiver creates a quiver with a non-simply laced edge. So far, this has been explored for quivers containing unitary gauge groups. In this paper, orthosymplectic quivers are folded, giving rise to a…

High Energy Physics - Theory · Physics 2023-02-23 Antoine Bourget , Julius F. Grimminger , Amihay Hanany , Rudolph Kalveks , Marcus Sperling , Zhenghao Zhong

Certain star shaped quivers exhibit a pattern of symmetry enhancement on the Coulomb branch of $3d$ $\mathcal{N}=4$ supersymmetric gauge theories. This paper studies a subclass of theories where such global symmetry enhancement occurs…

High Energy Physics - Theory · Physics 2017-08-01 Amihay Hanany , Alessandro Pini

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…

High Energy Physics - Theory · Physics 2024-12-20 Craig Lawrie , Lorenzo Mansi , Marcus Sperling , Zhenghao Zhong

Quiver quantum mechanics describes the low energy dynamics of a system of wrapped D-branes. It captures several aspects of single and multicentered BPS black hole geometries in four-dimensional $\mathcal{N} = 2$ supergravity such as the…

High Energy Physics - Theory · Physics 2013-10-30 Dionysios Anninos , Tarek Anous , Paul de Lange , George Konstantinidis

We define the slant sum of quiver gauge theories, a gluing on the underlying quivers that identifies a gauge vertex with a framing vertex. Under some mild assumptions, we relate torus fixed points on the corresponding Higgs branches, which…

Representation Theory · Mathematics 2026-03-17 Hunter Dinkins , Vasily Krylov , Reese Lance

We study four dimensional quiver gauge models from F-theory compactified on fourfolds with hyper-K\"{a}hler structure. Using intersecting complex toric surfaces, we derive a class of N=1 quivers with charged fundamental matter placed on…

High Energy Physics - Theory · Physics 2016-08-03 Adil Belhaj , Moulay Brahim Sedra

We study moduli spaces of twisted quasimaps to a hypertoric variety $X$, arising as the Higgs branch of an abelian supersymmetric gauge theory in three dimensions. These parametrise general quiver representations whose building blocks are…

Algebraic Geometry · Mathematics 2023-09-21 Michael McBreen , Artan Sheshmani , Shing-Tung Yau

Mirror symmetry has proven to be a powerful tool to study several properties of higher dimensional superconformal field theories upon compactification to three dimensions. We propose a quiver description for the mirror theories of the…

High Energy Physics - Theory · Physics 2020-10-28 Emanuele Beratto , Simone Giacomelli , Noppadol Mekareeya , Matteo Sacchi

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.…

High Energy Physics - Theory · Physics 2024-10-22 Anindya Dey

We investigate generalised global symmetries in 3d $\mathcal{N}=4$ orthosymplectic quiver gauge theories. Using the superconformal index, we identify a $D_8$ categorical symmetry web in a class of theories featuring $\mathfrak{so}(2N)…

High Energy Physics - Theory · Physics 2026-03-25 William Harding , Noppadol Mekareeya , Zhenghao Zhong

This paper tests a conjecture on discrete non-Abelian gauging of 3d $\mathcal{N} = 4$ supersymmetric quiver gauge theories. Given a parent quiver with a bouquet of $n$ nodes of rank $1$, invariant under a discrete $S_n$ global symmetry, one…

High Energy Physics - Theory · Physics 2018-09-26 Amihay Hanany , Anton Zajac

We study the Coulomb branches of $3d$ $\mathcal{N}=4$ quiver gauge theories, focusing on the generators for their quantized coordinate rings. We show that there is a surjective map from a shifted Yangian onto the quantized Coulomb branch,…

Representation Theory · Mathematics 2019-05-15 Alex Weekes

For any gauge theory, there may be a subgroup of the gauge group which acts trivially on the matter content. While many physical observables are not sensitive to this fact, the identification of the precise gauge group becomes crucial when…

High Energy Physics - Theory · Physics 2020-12-30 Antoine Bourget , Julius F. Grimminger , Amihay Hanany , Rudolph Kalveks , Marcus Sperling , Zhenghao Zhong

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…

High Energy Physics - Theory · Physics 2022-08-24 Antoine Bourget , Julius F. Grimminger , Amihay Hanany , Rudolph Kalveks , Zhenghao Zhong

The singularity structure of the Coulomb and Higgs branches of good $3d$ $\mathcal{N}=4$ circular quiver gauge theories (CQGTs) with unitary gauge groups is studied. The central method employed is the Kraft--Procesi transition. CQGTs are…

High Energy Physics - Theory · Physics 2018-11-09 Jamie Rogers , Radu Tatar

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,…

High Energy Physics - Theory · Physics 2026-03-31 Leyi Jiang , Jazz E. Z. Ooi , Richard Stone , Zhenghao Zhong

We study the Coulomb branches of three-dimensional $\mathcal N=4$ quiver gauge theories of type $T_\rho(SU(N))$ associated with non-maximal nilpotent orbits of $SL(N)$. Using the Hall--Littlewood closed form for Coulomb-branch Hilbert…

High Energy Physics - Theory · Physics 2026-04-28 Ayush Kumar

We propose quivers for Coulomb branch constructions of universal implosions for orthogonal and symplectic groups, extending the work on special unitary groups in arXiv:2004.09620. The quivers are unitary-orthosymplectic as opposed to the…

High Energy Physics - Theory · Physics 2021-08-18 Antoine Bourget , Andrew Dancer , Julius F. Grimminger , Amihay Hanany , Frances Kirwan , Zhenghao Zhong

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…

High Energy Physics - Theory · Physics 2018-08-28 Amihay Hanany , Marcus Sperling