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Related papers: Three dimensional Mirrors from IR N-ality

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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 present non-trivial checks of three dimensional mirror symmetry for $\mathcal{N}=4$, $\hat{D}_N$ quiver gauge theories with unitary gauge groups using partition function on a round sphere. Type IIB (Hanany-Witten) realization of these…

High Energy Physics - Theory · Physics 2014-01-28 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 construct three-dimensional N=1 QED with N_f flavors using branes of type IIB string theory. This theory has a mirror, which can be realized using the S-dual brane configuration. As in examples with more supersymmetry, the Higgs branch…

High Energy Physics - Theory · Physics 2009-10-31 Martin Gremm , Emanuel Katz

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 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 present nontrivial examples of d=3 gauge theories with sixteen and eight supercharges which are infrared dual at special points in the moduli space. This duality is distinct from mirror symmetry. To demonstrate duality we construct the…

High Energy Physics - Theory · Physics 2009-10-31 Micha Berkooz , Anton Kapustin

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 consider the compactification of the 6d N=(2,0) theories, or equivalently of M-theory 5-branes, on a punctured Riemann surface times a circle. This gives rise to what we call 3d N=4 Sicilian theories, and we find that their mirror…

High Energy Physics - Theory · Physics 2011-07-19 Francesco Benini , Yuji Tachikawa , Dan Xie

We provide an explicit planar Abelian dual for three-dimensional $\mathcal{N}=2$ $U(N)_k$ SQCD with $F$ fundamental chiral multiplets. This construction covers the entire $(N, F, k)$ parameter space (provided supersymmetry is unbroken),…

High Energy Physics - Theory · Physics 2026-03-11 Sergio Benvenuti , Riccardo Comi , Gabriel Pedde Ungureanu , Simone Rota , Anant Shri

We study moduli spaces of a class of three dimensional N=4 gauge theories which are in one-to-one correspondence with a certain set of ordered pairs of integer partitions. It was found that these theories can be realised on brane intervals…

High Energy Physics - Theory · Physics 2015-06-03 Amihay Hanany , Noppadol Mekareeya

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

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

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

Recently an algorithm to build $SL(2,\mathbb{Z})$ duals, including mirror duals, of 3d $\mathcal{N}=4$ quiver theories and their 4d $\mathcal{N}=1$ uplift has been introduced. In this work we use this new tool to study the so-called bad…

High Energy Physics - Theory · Physics 2024-04-04 Simone Giacomelli , Chiung Hwang , Fabio Marino , Sara Pasquetti , Matteo Sacchi

We suggest IR-dual descriptions for d=3 N=2 supersymmetric gauge theories with gauge groups USp(2N_c) and U(N_c) and matter in the fundamental representation. We relate this duality to the IR duality of d=4 N=1 SQCD theories, and in one…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony

We study supersymmetric field theories in three space-time dimensions doped by various configurations of electric charges or magnetic fluxes. These are supersymmetric avatars of impurity models. In the presence of additional sources such…

High Energy Physics - Theory · Physics 2015-06-16 Anson Hook , Shamit Kachru , Gonzalo Torroba

We start with the recently conjectured 3d bosonization dualities and gauge global symmetries to generate an infinite sequence of new dualities. These equate theories with non-Abelian product gauge groups and bifundamental matter. We uncover…

High Energy Physics - Theory · Physics 2017-12-06 Kristan Jensen , Andreas Karch

We conjecture infrared emergent $\mathcal{N}=4$ supersymmetry for a class of three-dimensional $\mathcal{N}=2$ $U(1)$ gauge theories coupled with a single chiral multiplet. One example is the case where $U(1)$ gauge group has the…

High Energy Physics - Theory · Physics 2019-03-22 Dongmin Gang , Masahito Yamazaki

We explicitly apply localization results to study the interpolation between three and two dimensional mirror symmetry for Abelian gauge theories with four supercharges. We first use the ellipsoid S_b^3 partition functions to verify the…

High Energy Physics - Theory · Physics 2016-12-21 Heng-Yu Chen , Hsiao-Yi Chen , Jun-Kai Ho