# 3d dualities from 2d free field correlators: recombination and rank stabilization

## TL;DR

This paper introduces new 3d N=2 dualities derived from 2d free field correlator relations, involving quiver theories with monopole superpotentials, and explores their properties and stability.

## Contribution

It proposes novel 3d dualities based on 2d free field correlator dualities, including a duality for U(N) theories with an adjoint and fundamental flavors.

## Key findings

- Identification of self-dual quiver theories with monopole superpotentials
- Derivation of a duality for U(N) with adjoint and fundamental flavors
- Method to stabilize theories and reveal rank as a parameter

## Abstract

We propose various new 3d N=2 dualities exploiting their recently discovered connection to the duality relations for 2d free field CFT correlators. Most of the dualities involve, as the main building block, a quiver theory with monopole superpotential which enjoys various interesting properties such as being self-dual and reducing, in a suitable real mass deformation, to the familiar T[SU(N)] theory. In particular we propose a duality for the U(N) theory with one adjoint and k+1 fundamental flavors. By iterating some basic dualities we can bring the theory to a stable form which, in turns, allows us to find a dual frame where the rank of the original theory appears as a parameter.