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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

Mirror symmetry, a three dimensional $\mathcal{N}=4$ IR duality, has been studied in detail for quiver gauge theories of the $ADE$-type (as well as their affine versions) with unitary gauge groups. The $A$-type quivers (also known as linear…

High Energy Physics - Theory · Physics 2023-02-22 Anindya Dey

We present a general prescription for constructing 3d $\mathcal{N}=4$ Lagrangians for the IR SCFTs that arise from the circle reduction of a large class of Argyres-Douglas theories. The resultant Lagrangian gives a realization of the Higgs…

High Energy Physics - Theory · Physics 2022-10-12 Anindya Dey

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 study of 3d mirror symmetry has greatly enhanced our understanding of various aspects of 3d $\mathcal{N}=4$ theories. In this paper, starting with known mirror pairs of 3d $\mathcal{N}=4$ quiver gauge theories and gauging discrete…

High Energy Physics - Theory · Physics 2023-07-19 Satoshi Nawata , Marcus Sperling , Hao Ellery Wang , Zhenghao Zhong

We provide non-trivial checks of $\mathcal{N}=4, D=3$ mirror symmetry in a large class of quiver gauge theories whose Type IIB (Hanany-Witten) descriptions involve D3 branes ending on orbifold/orientifold 5-planes at the boundary. From the…

High Energy Physics - Theory · Physics 2015-06-12 Anindya Dey , Jacques Distler

We found a lot of new three dimensional N = 4 mirror pairs generalizing previous considerations on three dimensional generalized quiver gauge theories. We recovered almost all previous discovered mirror pairs with these constructions. One…

High Energy Physics - Theory · Physics 2011-05-23 Dimitri Nanopoulos , Dan Xie

3d mirrors for all 4d $\mathcal{N}=2$ Argyres-Douglas (AD) theories engineered using 6d $(2,0)$ theory are found. The basic steps are: 1): Find a punctured sphere representation for the AD theories (this is achieved in our previous studies…

High Energy Physics - Theory · Physics 2021-07-13 Dan Xie

Understanding the map of line defects in a Quantum Field Theory under a given duality is generically a difficult problem. This paper is the second in a series which aims to address this question in the context of 3d $\mathcal{N}=4$ mirror…

High Energy Physics - Theory · Physics 2021-12-10 Anindya Dey

Using a recently proposed duality for $U(N)$ supersymmetric QCD (SQCD) in three dimensions with monopole superpotential, in this paper we derive the mirror dual description of $\mathcal{N}=2$ SQCD with unitary gauge group, generalizing the…

High Energy Physics - Theory · Physics 2018-03-23 Simone Giacomelli , Noppadol Mekareeya

Mirror Symmetry for a large class of three dimensional $\mathcal{N}=4$ supersymmetric gauge theories has a natural explanation in terms of M-theory compactified on a product of $\text{ALE}$ spaces. A pair of such mirror duals can be…

High Energy Physics - Theory · Physics 2015-05-30 Anindya Dey

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 show that for a large subclass of Argyres-Douglas-type theories, the Higgs branch admits multiple hyperkahler quotient realizations as Higgs branches of three dimensional $\mathcal{N}=4$ quiver gauge theories, which are related by a…

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

This paper presents new developments in the study of 3d mirror symmetry and the phase structure of Abelian gauge theories. Previous works identified 3d mirrors for a specific class of theories, termed ``simple" Abelian theories. This work…

High Energy Physics - Theory · Physics 2025-03-13 Julius F. Grimminger , Amihay Hanany , Deshuo Liu

We discuss an explicit field theory construction of three dimensional mirrors for a large sub-class of quiver gauge theories involving unitary and special unitary gauge nodes with matter in fundamental and bifundamental representations. For…

High Energy Physics - Theory · Physics 2023-08-25 Anindya Dey

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 construct and analyze dual N=4 supersymmetric gauge theories in three dimensions with unitary and symplectic gauge groups. The gauge groups and the field content of the theories are encoded in quiver diagrams. The duality exchanges the…

High Energy Physics - Theory · Physics 2009-09-17 Jan de Boer , Kentaro Hori , Hirosi Ooguri , Yaron Oz

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…

High Energy Physics - Theory · Physics 2017-01-17 Gong Cheng , Amihay Hanany , Yabo Li , Yidi Zhao

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

Mirror symmetry is a type of infrared duality in 3D quantum field theory that relates the low-energy dynamics of two distinct ultraviolet descriptions. Though first discovered in the supersymmetric context, it has far-reaching implications…

High Energy Physics - Theory · Physics 2020-04-29 Yale Fan , Yifan Wang
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