# More Large $N$ limits of 3d gauge theories

## TL;DR

This paper explores the large N solutions of 3d supersymmetric gauge theories with a focus on a novel linear mass distribution for fundamental fields, revealing new phases and solution techniques.

## Contribution

It introduces a new large N limit with a linear mass distribution for fundamental fields in 3d gauge theories, expanding the understanding of phase structures and solution methods.

## Key findings

- Model solvable with standard large N techniques
- Identification of different phases in the model
- Discussion of other natural mass distributions

## Abstract

In this paper we study the large $N$ solution to matrix models describing the partition functions of 3d supersymmetric gauge theories on $S^3$. The model we focus on has a single $U(N)$ gauge group and fundamental fields, whose number scales with $N$, also known as the Veneziano limit. The novel point in our model is our choice of masses for the fundamental fields. Instead of vanishing or fixed masses, we consider a linear distribution. We show that the model can still be solved by standard large $N$ techniques and explore the different phases of the model. We also commend about other natural mass distributions.