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

TL;DR

This paper introduces new infrared dualities between 3d $ =2$ $USp(2N)$ Chern--Simons SQCD and planar Abelian quiver gauge theories, supported by multiple consistency checks.

Contribution

It constructs novel dual pairs by deforming known $ =4$ mirror dualities, extending the duality framework to more general $ =2$ symplectic SQCD with various parameters.

Findings

Matching of $f S^3_b$ partition functions confirms dualities.

Superconformal index comparisons support the duality claims.

Operator spectrum analysis shows consistent dual descriptions.

Abstract

We propose a new class of infrared dualities relating three-dimensional $\mathcal{N}=2$ $USp(2N)$ Chern--Simons SQCD to planar Abelian quiver gauge theories. These dual descriptions are constructed via real mass deformations of established $\mathcal N=4$ mirror dualities between $\mathcal{N}=4$ $USp(2N)$ SQCD and unitary $D$-type quiver gauge theories. The resulting $\mathcal N=2$ dual pairs exhibit the characteristic exchange of topological and flavor symmetries. We provide nontrivial evidence for these dualities by matching $\mathbf{S}^3_b$ partition functions, superconformal indices, and gauge-invariant operator spectra. Furthermore, we systematically incorporate additional real mass deformations on both sides of the duality, allowing us to extend the construction to $\mathcal{N}=2$ symplectic SQCD with generic ranks, flavors, and Chern--Simons levels.