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Related papers: Folding Orthosymplectic Quivers

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Three-dimensional Coulomb branches have a prominent role in the study of moduli spaces of supersymmetric gauge theories with $8$ supercharges in $3,4,5$, and $6$ dimensions. Inspired by simply laced $3$d $\mathcal{N}=4$ supersymmetric…

High Energy Physics - Theory · Physics 2020-10-28 Amihay Hanany , Anton Zajac

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 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…

High Energy Physics - Theory · Physics 2019-08-13 Santiago Cabrera , Amihay Hanany , Marcus Sperling

This paper introduces two operations in quiver gauge theories. The first operation takes a quiver with a permutation symmetry $S_n$ and gives a quiver with adjoint loops. The corresponding 3d $\mathcal{N}=4$ Coulomb branches are related by…

High Energy Physics - Theory · Physics 2024-09-27 Amihay Hanany , Guhesh Kumaran , Chunhao Li , Deshuo Liu , Marcus Sperling

Braverman, Finkelberg and Nakajima have recently given a mathematical construction of the Coulomb branches of a large class of $3d$ $\mathcal{N} =4$ gauge theories, as algebraic varieties with Poisson structure. They conjecture that these…

Algebraic Geometry · Mathematics 2021-08-23 Alex Weekes

In this note we construct magnetic quivers for the known rank-2 four dimensional $\mathcal{N}=2$ superconformal field theories. For every rank-1 theory one can find a unitary magnetic quiver; we observe that this is no longer possible at…

High Energy Physics - Theory · Physics 2022-04-20 Antoine Bourget , Julius F. Grimminger , Mario Martone , Gabi Zafrir

Non-simply laced quivers, despite the lack of complete Lagrangian descriptions, play an important role in characterising moduli spaces of supersymmetric field theories. Notably, the moduli space of instantons in non-simply laced gauge…

High Energy Physics - Theory · Physics 2025-02-28 Julius F. Grimminger , William Harding , Noppadol Mekareeya

We look at a family of 3d $\mathcal{N}=4$ rank-0 orthosymplectic quiver gauge theories. We define a superconformal field theory (SCFT) to be rank-0 if either the Higgs branch or Coulomb branch is trivial. This family of non-linear…

High Energy Physics - Theory · Physics 2024-11-21 Zhenghao Zhong

For simply-laced quivers, we consider the fixed-point subalgebra of the quiver Hecke algebra under the homogeneous sign map. This leads to a new family of algebras we call alternating quiver Hecke algebras. We give a basis theorem and a…

Representation Theory · Mathematics 2015-04-22 Clinton Boys

Based on the Decay and Fission Conjecture, we provide a classification of unitary quivers whose 3d $\mathcal{N}=4$ Coulomb branches exhibit isolated singularities. This yields the complete list of isolated conical symplectic singularities…

High Energy Physics - Theory · Physics 2025-04-09 Antoine Bourget , Quentin Lamouret , Sinan Moura Soysüren , Marcus Sperling

For a 3D N=4 gauge theory, turning on the $\Omega$-background in RxR$^2_{\epsilon}$ deforms the Coulomb branch chiral ring into the quantum Coulomb branch algebra, generated by the 1/2-BPS monopoles together with the complex scalar in the…

High Energy Physics - Theory · Physics 2026-05-19 Tiantai Chen , Wei Li

In this paper we study a restricted family of holomorphic symplectic leaves in the Poisson-Lie group ${\rm GL}_r(\mathcal{K}_{\mathbb{P}^1_x})$ with rational quadratic Sklyanin brackets induced by a one-form with a single quadratic pole at…

High Energy Physics - Theory · Physics 2019-04-26 Rouven Frassek , Vasily Pestun

Magnetic quivers and Hasse diagrams for Higgs branches of rank $r$ 4d $\mathcal{N}=2$ SCFTs arising from $\mathbb{Z}_{\ell}$ $\mathcal{S}$-fold constructions are discussed. The magnetic quivers are derived using three different methods: 1)…

High Energy Physics - Theory · Physics 2021-02-24 Antoine Bourget , Simone Giacomelli , Julius F. Grimminger , Amihay Hanany , Marcus Sperling , Zhenghao Zhong

The Higgs sector of the low-energy physics of n of coincident D-branes contains the necessary elements for constructing noncommutative manifolds. The coordinates orthogonal to the coincident branes, as well as their conjugate momenta, take…

High Energy Physics - Theory · Physics 2009-11-10 J. M. Isidro

This paper explores 3d $\mathcal{N}=4$ quiver gauge theories whose moduli spaces represent nilpotent orbits, S\l odowy slices or, more generally, S\l odowy intersections, which span the Special Pieces of nilcones of Classical or Exceptional…

High Energy Physics - Theory · Physics 2026-03-25 Sam Bennett , Amihay Hanany , Rudolph Kalveks

To date, the best effort made to simply determine the Coulomb branch global symmetry of a theory from a $3d$ $\mathcal{N}=4$ quiver is by applying an algorithm based on its balanced gauge nodes. This often gives the full global symmetry,…

High Energy Physics - Theory · Physics 2022-01-05 Kirsty Gledhill , Amihay Hanany

A new type of quiver theories, denoted twin quivers, was recently introduced for studying $5d$ SCFTs engineered by webs of 5-branes ending on 7-branes. Twin quivers provide an alternative perspective on various aspects of such webs,…

High Energy Physics - Theory · Physics 2023-10-18 Sebastian Franco , Diego Rodriguez-Gomez

We show by direct construction that a large class of quiver gauge theories admits actions of finite Heisenberg groups. We consider various quiver gauge theories that arise as AdS/CFT duals of orbifolds of C^3, the conifold and its orbifolds…

High Energy Physics - Theory · Physics 2008-11-26 Benjamin A. Burrington , James T. Liu , Leopoldo A. Pando Zayas

We develop a new method for constructing $3d$ $\mathcal{N}=4$ Coulomb branch chiral rings in terms of gauge-invariant generators and relations while making the global symmetry manifest. Our examples generalise to all balanced quivers of…

High Energy Physics - Theory · Physics 2019-03-27 Amihay Hanany , Dominik Miketa

We study Higgs branches of field theories with 8 supercharges in 5 and 6 dimensions, focusing on theories realised on 5-brane webs in Type IIB with an O$7^+$ plane, or a D6-D8-NS5 brane system in Type IIA in the presence of an O$8^+$ plane.…

High Energy Physics - Theory · Physics 2025-10-15 Mohammad Akhond , Guillermo Arias-Tamargo , Federico Carta , Julius F. Grimminger , Amihay Hanany