Universal planar Abelian duals for 3d 𝒩 = 2 unitary CS-SQCD

A bstract We provide an explicit planar Abelian dual for three-dimensional 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 | + 2 N , which is a mass deformation of 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.