# 3d "chiral" Kutasov-Schwimmer duality

## TL;DR

This paper introduces a new 3d chiral Kutasov-Schwimmer duality for $SU(N)$ gauge theories with fundamental, anti-fundamental, and adjoint matter, revealing a complex structure of baryonic and Coulomb branch operators.

## Contribution

It generalizes previous chiral dualities by incorporating an adjoint matter and resolving moduli space mismatches through Coulomb operator identification.

## Key findings

- Duality correctly matches baryonic and Coulomb branches.
- Anti-baryonic operators correspond to dressed Coulomb branch coordinates.
- Extends known chiral dualities to more complex matter content.

## Abstract

We propose a "chiral" version of the Kutasov-Schwimmer duality in a 3d $\mathcal{N}=2$ $SU(N)$ gauge theory with $F$ fundamental matters, $\bar{F}$ anti-fundamental matters and an adjoint matter $X$ with a tree-level superpotential $W= \mathrm{tr} \, X^{k+1}$. The theory exhibits a rich structure of the baryonic and (dressed) Coulomb branch operators. At first sight, the duality seems bad due to the mismatch of the anti-baryonic branch in the moduli space of vacua. The duality well works by realizing that the anti-baryonic operators are identified with some of the dressed Coulomb branch coordinates under the proposed duality. This generalizes the $SU(N)$ ``chiral'' duality with (anti-)fundamental matters, which we previously proposed.