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Using geometric engineering in the context of type II strings, we obtain exact solutions for the moduli space of the Coulomb branch of all N=2 gauge theories in four dimensions involving products of SU gauge groups with arbitrary number of…

High Energy Physics - Theory · Physics 2008-11-26 S. Katz , P. Mayr , C. Vafa

We present a new family of dualities for three-dimensional gauge theories, motivated by the brane realization of the reduction of four-dimensional dualities on a circle. This family can be understood as a generalization of Aharony duality…

High Energy Physics - Theory · Physics 2018-03-14 Antonio Amariti , Domenico Orlando , Susanne Reffert

The Argyres-Douglas (AD) theories of type $(D_n,D_m)$, realized by type IIB geometrical engineering on a single hypersurface singularity, are studied. We analyze their conformal manifolds and propose the 3d mirror theories of all theories…

High Energy Physics - Theory · Physics 2022-02-23 Federico Carta , Simone Giacomelli , Noppadol Mekareeya , Alessandro Mininno

We present M-theory compactifications on $K_3 \times K_3$ with membranes near the $A_n$ or $D_n$ singularities of the $K_3$ spaces. By realizing each of these compactifications in two different ways as type I' models with 2- and 6-branes,…

High Energy Physics - Theory · Physics 2009-10-30 M. Porrati , A. Zaffaroni

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

We construct two dimensional gauge theories with $N= (4,4)$ supersymmetry from branes of type IIA string theory. Quantum effects in the two dimensional gauge theory are analyzed by embedding the IIA brane construction into M-theory. We find…

High Energy Physics - Theory · Physics 2009-10-30 John Brodie

We propose a four-dimensional supersymmetric theory that deconstructs, in a particular limit, the six-dimensional $(2,0)$ theory of type $D_k$. This 4d theory is defined by a necklace quiver with alternating gauge nodes $\mathrm{O}(2k)$ and…

High Energy Physics - Theory · Physics 2018-01-17 Antoine Bourget , Alessandro Pini , Diego Rodriguez-Gomez

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…

High Energy Physics - Theory · Physics 2022-01-19 Marieke van Beest , Simone Giacomelli

We compute the Hilbert series of three-dimensional $\mathcal{N}=3$ quiver gauge theories by taking a specific limit of the superconformal index. Our approach introduces auxiliary fugacities associated with symmetries which, while not…

High Energy Physics - Theory · Physics 2026-02-20 Riccardo Comi , Sebastiano Garavaglia , William Harding , Noppadol Mekareeya

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…

High Energy Physics - Theory · Physics 2019-03-27 Santiago Cabrera , Amihay Hanany , Anton Zajac

We study the matrix models calculating the sphere partition functions of 3d gauge theories with $\mathcal{N}=4$ supersymmetry and a quiver structure of a $\hat D$ Dynkin diagram (where each node is a unitary gauge group). As in the case of…

High Energy Physics - Theory · Physics 2015-09-30 Benjamin Assel , Nadav Drukker , Jan Felix

We consider $5d$ KK dualities, that is multiple $5d$ gauge theories with the same $6d$ infinite coupling limit. We provide a prescription to associate $4d$ $N=1$ quivers to the $5d$ dual quivers, such that the $4d$ quivers are also dual to…

High Energy Physics - Theory · Physics 2024-02-22 Stephane Bajeot , Sergio Benvenuti

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 three-dimensional supersymmetric quiver gauge theories with a non-simply laced global symmetry primarily focusing on framed affine $B_{N}$ quiver theories. Using a supersymmetric partition function on a three sphere, and its…

High Energy Physics - Theory · Physics 2017-09-20 Anindya Dey , Amihay Hanany , Peter Koroteev , Noppadol Mekareeya

We show that a broad class of three-dimensional $\mathcal{N}=2$ chiral Chern-Simons gauge theories admit an abelian and planar dual description. These chiral-planar dualities emerge by performing real mass deformations on known…

High Energy Physics - Theory · Physics 2025-07-04 Sergio Benvenuti , Riccardo Comi , Sara Pasquetti , Gabriel Pedde Ungureanu , Simone Rota , Anant Shri

We propose a universal manipulation to obtain Seiberg-like dualities of 3d $\mathcal{N}=2$ general quiver gauge theories with unitary, symplectic and orthogonal gauge groups coupled to fundamental and bifundamental matter fields. We…

High Energy Physics - Theory · Physics 2022-04-28 Tadashi Okazaki , Douglas J. Smith

Argyres-Douglas (AD) theories constitute an infinite class of superconformal field theories in four dimensions with a number of interesting properties. We study several new aspects of AD theories engineered in $A$-type class $\mathcal{S}$…

High Energy Physics - Theory · Physics 2021-04-27 Simone Giacomelli , Noppadol Mekareeya , Matteo Sacchi

Two new diagrammatic techniques on $3d\;\mathcal N=4$ quiver gauge theories, termed chain and cyclic quiver polymerisation are introduced. These gauge a diagonal $\mathrm{SU}/\mathrm{U}(k)$ subgroup of the Coulomb branch global symmetry of…

High Energy Physics - Theory · Physics 2024-12-13 Amihay Hanany , Rudolph Kalveks , Guhesh Kumaran

We construct 3d, N=2 supersymmetric gauge theories by considering a one-parameter `R-flow' of 4d, N=2 theories, where the central charges vary while preserving their phase order. Each BPS state in 4d leads to a BPS particle in 3d, and thus…

High Energy Physics - Theory · Physics 2011-10-11 Sergio Cecotti , Clay Cordova , Cumrun Vafa

Argyres-Douglas theories constitute an important class of superconformal field theories in $4$d. The main focus of this paper is on two infinite families of such theories, known as $D^b_p(\mathrm{SO}(2N))$ and $(A_m, D_n)$. We analyze in…

High Energy Physics - Theory · Physics 2021-09-01 Federico Carta , Simone Giacomelli , Noppadol Mekareeya , Alessandro Mininno