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arXiv · 2603.08842

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

Sergio Benvenuti·Riccardo Comi·Gabriel Pedde Ungureanu·Simone Rota·Anant Shri
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Abstract

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.

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Sergio Benvenuti, Riccardo Comi, Gabriel Pedde Ungureanu, Simone Rota, Anant Shri. 2026-03-09. Universal Planar Abelian Duals for 3d $\mathcal{N}=2$ Unitary CS-SQCD. https://arxiv.org/abs/2603.08842

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