# "Chiral'' and "Non-chiral'' 3d Seiberg duality

## TL;DR

This paper proposes a new Seiberg duality connecting chiral and non-chiral 3d gauge theories, specifically for $Spin(7)$ and $G_2$ gauge groups with matter fields, expanding the understanding of dualities in 3d supersymmetric theories.

## Contribution

It introduces a novel Seiberg duality for 3d $ ext{Spin}(7)$ gauge theories with spinor matter, linking chiral and non-chiral theories, and derives a duality for $G_2$ gauge theories.

## Key findings

- Established a duality between $Spin(7)$ theories with $F \,\geq 6$ and $SU(F-4)$ gauge groups.
- Constructed a Seiberg duality for 3d $ ext{G}_2$ gauge theories with fundamental matter.
- Connected chiral and non-chiral gauge theories through this duality.

## Abstract

We propose a Seiberg duality for a 3d $\mathcal{N}=2$ $Spin(7)$ gauge theory with $F$ spinor matters. For $F \ge 6$, the theory allows a magnetic dual description with an $SU(F-4)$ gauge group. The matter content on the magnetic side is ``chiral'' and the duality connects ``chiral'' and ``non-chiral'' 3d gauge theories. As a corollary, we can construct a Seiberg duality for a 3d $\mathcal{N}=2$ $G_2$ gauge theory with fundamental matters.