3d Deconfinement, Product gauge group, Seiberg-Witten and New 3d dualities

TL;DR

This paper introduces a new 3D deconfinement method leveraging 4D techniques to discover novel dualities in 3D supersymmetric gauge theories, especially involving two-index matters.

Contribution

It develops a 3D deconfinement approach using product gauge groups and Seiberg-Witten curves to find new dualities in 3D $ ext{N}=2$ theories with complex matter representations.

Findings

Derived dual descriptions involving two-index matters.

Applied 4D techniques to 3D supersymmetric theories.

Identified s-confining phases for various matter types.

Abstract

We construct a three dimensional deconfinement method which enables us to find new three-dimensional dualities and we apply various techniques developed in four dimensional supersymmetric gauge theories, such as the product gauge groups and Seiberg-Witten curves to the three dimensional $\mathcal{N}=2$ supersymmetric gauge theories. Dual descriptions of three dimensional $\mathcal{N}=2$ supersymmetric gauge theories which involve two-index matters, for example, adjoint, symmetric, and anti-symmetric matters without superpotentials can be obtained. These matters are described in terms of s-confining phases of the supersymmetric gauge theories.