More large N limits of 3d gauge theories

@article{Anderson2017MoreLN,
  title={More large N limits of 3d gauge theories},
  author={Louise M. Anderson and Nadav Drukker},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2017},
  volume={50}
}
In this paper we study the large N solution to matrix models describing the partition functions of 3d supersymmetric gauge theories on S3. 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… 
View on IOP Publishing
[PDF] Semantic Reader
8 Citations
Background Citations
1

8 Citations

Title Aspects of massive gauge theories on three sphere in infinitemass limit

We study the S3 partition function of three-dimensional supersymmetric N = 4 U(N) SQCD with massive matter multiplets in the infinite mass limit with the so-called Coulomb branch localization. We…

Phases of Supersymmetric Gauge Theories on the Three-Sphere

Three-dimensional supersymmetric gauge theories has been studied in various contexts such as understanding non-perturbative effects of gauge theory. The recent development of localization techniques…

Aspects of massive gauge theories on three sphere in infinite mass limit

A bstractWe study the S3 partition function of three-dimensional supersymmetric N=4$$ \mathcal{N}=4 $$ U(N) SQCD with massive matter multiplets in the infinite mass limit with the so-called Coulomb…

Phase transitions and Wilson loops in antisymmetric representations in Chern–Simons-matter theory

We study the phase transitions of three-dimensional Chern–Simons theory on with a varied number of massive fundamental hypermultiplets and with a Fayet–Iliopoulos parameter. We characterize the…

Phases of five-dimensional supersymmetric gauge theories

Five-dimensional N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}…

Representing Theoretical Physics Research in and on Ceramics

Abstract A theoretical physicist and potter, the author presents his practice that fuses these two sides of himself. His art aims to circumvent the regular pitfalls of scientific public engagement,…

Artistic Manifestations of Topics in String Theory

  • N. Drukker
  • Art
    Handbook of the Mathematics of the Arts and Sciences
  • 2021

Aspects of massive gauge theories on three sphere in infinite mass limit

We study the S3 partition function of three-dimensional supersymmetric N=4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}…

References

SHOWING 1-10 OF 29 REFERENCES

Lectures on localization and matrix models in supersymmetric Chern–Simons-matter theories

In these lectures, I give a pedagogical presentation of some of the recent progress in supersymmetric Chern–Simons-matter theories, coming from the use of localization and matrix model techniques.…

Notes on superconformal Chern-Simons-Matter theories

The three dimensional = 2 supersymmetric Chern-Simons theory coupled to matter fields, possibly deformed by a superpotential, give rise to a large class of exactly conformal theories with Lagrangian…

Prepared for submission to JHEP N = 2 gauge theories and quantum phases

The partition function of general N = 2 supersymmetric SU(2) YangMills theories on a four-sphere localizes to a matrix integral. We show that in the decompactification limit, and in a certain regime,…

Exact results for Wilson loops in superconformal Chern-Simons theories with matter

We use localization techniques to compute the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter. We find the path-integral reduces to a non-Gaussian matrix model.…

Quantum phase transition in many-flavor supersymmetric QED3

We study $\mathcal{N}=4$ supersymmetric QED in three dimensions, on a three-sphere, with 2N massive hypermultiplets and a Fayet-Iliopoulos parameter. We identify the exact partition function of the…

Nonperturbative tests of three-dimensional dualities

We test several conjectural dualities between strongly coupled superconformal field theories in three dimensions by computing their exact partition functions on a three sphere as a function of…

Large N phase transitions in supersymmetric Chern-Simons theory with massive matter

A bstractWe study three-dimensional $ \mathcal{N} $ = 2 U(N) Chern-Simons theory on $ {{\mathbb{S}}^3} $ coupled to 2Nf chiral multiplets deformed by mass terms. The partition function localizes to a…

Exact results in N=8 Chern-Simons-matter theories and quantum geometry

We show that, in ABJ(M) theories with N=8 supersymmetry, the non-perturbative sector of the partition function on the three-sphere simplifies drastically. Due to this simplification, we are able to…

Strong-coupling phases of planar N=2* super-Yang-Mills theory

The N=2* theory (mass deformation of the N=4 super-Yang-Mills theory) undergoes an infinite number of quantum phase transitions in the large-N limit. The phase structure and critical behavior can be…

Phase transitions in 5D super Yang-Mills theory

A bstractIn this paper we study a phase structure of 5DN=1$$ \mathcal{N}=1 $$ super Yang-Mills theory with massive matter multiplets and SU(N ) gauge group. In particular, we are interested in two…