More Large $N$ limits of 3d gauge theories

Autor: Anderson, Louise, Drukker, Nadav
Rok vydání: 2017
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1088/1751-8121/aa7e11
Popis: 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.
Comment: 15 pages, 7 figures. v2: typos corrected
Databáze: arXiv