More Large $N$ limits of 3d gauge theories

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.

15 pages, 7 figures. v2: typos corrected

References in corpus (7)

• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model
• Exact results in N=8 Chern-Simons-matter theories and quantum geometry
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Cited by in corpus (2)

• Phases of five-dimensional supersymmetric gauge theories
• Aspects of Massive Gauge Theories on Three Sphere in Infinite Mass Limit