Universal Planar Abelian Duals for 3d $\mathcal{N}=2$ Unitary CS-SQCD

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Main Authors: Benvenuti, Sergio, Comi, Riccardo, Ungureanu, Gabriel Pedde, Rota, Simone, Shri, Anant
Format: Preprint
Published: 2026
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author Benvenuti, Sergio
Comi, Riccardo
Ungureanu, Gabriel Pedde
Rota, Simone
Shri, Anant
author_facet Benvenuti, Sergio
Comi, Riccardo
Ungureanu, Gabriel Pedde
Rota, Simone
Shri, Anant
contents 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), offering a unified framework for the infrared physics of these theories. Our results generalize a recently discovered class of chiral-planar dualities, which were previously limited to the locus $F = 2|k| + 2N$, which is a mass deformation of $\mathcal{N}=4$ mirror symmetry plus a restricted set of additional mass deformations. By developing a systematic algorithm to track the flow of the dual theory under generic mass deformations, we establish the planar Abelian quiver not merely as a specific dual description, but as a universal tool for analyzing 3d gauge dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2603_08842
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Universal Planar Abelian Duals for 3d $\mathcal{N}=2$ Unitary CS-SQCD
Benvenuti, Sergio
Comi, Riccardo
Ungureanu, Gabriel Pedde
Rota, Simone
Shri, Anant
High Energy Physics - Theory
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), offering a unified framework for the infrared physics of these theories. Our results generalize a recently discovered class of chiral-planar dualities, which were previously limited to the locus $F = 2|k| + 2N$, which is a mass deformation of $\mathcal{N}=4$ mirror symmetry plus a restricted set of additional mass deformations. By developing a systematic algorithm to track the flow of the dual theory under generic mass deformations, we establish the planar Abelian quiver not merely as a specific dual description, but as a universal tool for analyzing 3d gauge dynamics.
title Universal Planar Abelian Duals for 3d $\mathcal{N}=2$ Unitary CS-SQCD
topic High Energy Physics - Theory
url https://arxiv.org/abs/2603.08842