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We study the Coulomb branches of the rank-one 4d $\mathcal{N} = 2$ quantum field theories, including the KK theories obtained from the circle compactification of the 5d $\mathcal{N}= 1$ $E_n$ Seiberg theories. The focus is set on the…

High Energy Physics - Theory · Physics 2022-05-26 Horia Magureanu

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…

High Energy Physics - Theory · Physics 2025-02-25 Sam Bennett , Amihay Hanany , Guhesh Kumaran , Chunhao Li , Deshuo Liu , Marcus Sperling

We give an explicit formula for the Higgs and Coulomb branch Hilbert series for the class of 3d N=4 superconformal gauge theories T^{\sigma}_{\rho}(G) corresponding to a set of D3 branes ending on NS5 and D5-branes, with or without O3…

High Energy Physics - Theory · Physics 2015-06-23 Stefano Cremonesi , Amihay Hanany , Noppadol Mekareeya , Alberto Zaffaroni

We analyse the classical moduli spaces of supersymmetric vacua of 3d N=2 Chern-Simons quiver gauge theories. We show quite generally that the moduli space of the 3d theory always contains a baryonic branch of a parent 4d N=1 quiver gauge…

High Energy Physics - Theory · Physics 2008-12-30 Dario Martelli , James Sparks

The Coulomb branch of 3-dimensional N=4 gauge theories is the space of bare and dressed BPS monopole operators. We utilise the conformal dimension to define a fan which, upon intersection with the weight lattice of a GNO-dual group, gives…

High Energy Physics - Theory · Physics 2016-08-24 Amihay Hanany , Marcus Sperling

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

We consider M-theory in the presence of M parallel M5-branes probing a transverse A_{N-1} singularity. This leads to a superconformal theory with (1,0) supersymmetry in six dimensions. We compute the supersymmetric partition function of…

High Energy Physics - Theory · Physics 2015-06-17 Babak Haghighat , Can Kozcaz , Guglielmo Lockhart , Cumrun Vafa

This paper presents a formula for the Hilbert series that counts gauge invariant chiral operators in 3d N=2 Yang-Mills theories with vectorlike matter and no Chern-Simons interactions. The formula counts 't Hooft monopole operators dressed…

High Energy Physics - Theory · Physics 2015-05-12 Stefano Cremonesi

We show that a large subclass of 3d $\mathcal{N}=4$ quiver gauge theories consisting of unitary and special unitary gauge nodes with only fundamental/bifundamental matter have multiple Seiberg-like IR duals. A generic quiver $\mathcal{T}$…

High Energy Physics - Theory · Physics 2023-11-23 Anindya Dey

We study the Coulomb branches of 3d N=4 `star-shaped' quiver gauge theories and their deformation quantizations, by applying algebraic techniques that have been developed in the mathematics and physics literature over the last few years.…

High Energy Physics - Theory · Physics 2019-02-20 Tudor Dimofte , Niklas Garner

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

The moduli space of k G-instantons on R^4 for a classical gauge group G is known to be given by the Higgs branch of a supersymmetric gauge theory that lives on Dp branes probing D(p + 4) branes in Type II theories. For p = 3, these (3 + 1)…

High Energy Physics - Theory · Physics 2015-03-17 Sergio Benvenuti , Amihay Hanany , Noppadol Mekareeya

We introduce several families of $\mathcal{N}=(2,2)$ UV boundary conditions in 3d $\mathcal N=4$ gauge theories and study their IR images in sigma-models to the Higgs and Coulomb branches. In the presence of Omega deformations, a UV…

High Energy Physics - Theory · Physics 2016-11-23 Mathew Bullimore , Tudor Dimofte , Davide Gaiotto , Justin Hilburn

We describe a block-spin-like transformation on a simplified subset of the space of supersymmetric quiver gauge theories that arise on the worldvolumes of D-brane probes of orbifold geometries, by sequentially Higgsing the gauge symmetry in…

High Energy Physics - Theory · Physics 2007-05-23 K. Narayan , M. Ronen Plesser

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…

High Energy Physics - Theory · Physics 2026-01-01 Mykola Dedushenko , Daniel Resnick

The algebraic structure of moduli spaces of 3d N=2 supersymmetric gauge theories is studied by computing the Hilbert series which is a generating function that counts gauge invariant operators in the chiral ring. These U(N_c) theories with…

High Energy Physics - Theory · Physics 2015-11-24 Amihay Hanany , Chiung Hwang , Hyungchul Kim , Jaemo Park , Rak-Kyeong Seong

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

Quotient quiver subtraction is a simple combinatorial prescription for gauging Coulomb branch isometry subgroups of 3d $\mathcal{N}=4$ quiver gauge theories. This paper uses Type IIB brane constructions with $\mathrm{O5}$ planes to extend…

High Energy Physics - Theory · Physics 2026-03-11 Sam Bennett , Amihay Hanany , Guhesh Kumaran

We study 4d superconformal indices for a large class of N=1 superconformal quiver gauge theories realized combinatorially as a bipartite graph or a set of "zig-zag paths" on a two-dimensional torus T^2. An exchange of loops, which we call a…

High Energy Physics - Theory · Physics 2012-06-07 Masahito Yamazaki

Obtaining the classification of 3d $\mathcal{N}=4$ quivers whose Coulomb branches have an isolated singularity is an essential step in understanding moduli spaces of vacua of supersymmetric field theories with 8 supercharges in any…

High Energy Physics - Theory · Physics 2024-12-30 Antoine Bourget , Quentin Lamouret , Sinan Moura Soysüren , Marcus Sperling