Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers

TL;DR

This paper introduces a universal method to derive Seiberg-like dualities for 3d $ ext{N}=2$ quiver gauge theories with various gauge groups, supported by index computations and boundary condition generalizations.

Contribution

It presents a new universal manipulation technique to generate dualities for diverse 3d $ ext{N}=2$ quiver gauge theories, including boundary condition extensions.

Findings

Matching supersymmetric indices confirm dualities.

Applicable to linear, circular, and star-shaped quivers.

Dualities hold with boundary conditions obeying $ ext{N}=(0,2)$ symmetry.

Abstract

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 illustrate this with several examples of linear, circular and star-shaped quiver gauge theories. We examine the local operators in the theories by computing supersymmetric indices and also find precise matching for the proposed dualities as strong evidence. We also generalize the dualities in the presence of a boundary on which the theories obey $\mathcal{N}=(0,2)$ chiral half-BPS boundary conditions.