Chern-Simons dualities with multiple flavors at large $N$

TL;DR

This paper investigates dualities in large N Chern-Simons theories coupled with matter fields, providing calculations of thermal free energy and correlation functions that support various supersymmetric dualities.

Contribution

It offers new computations of free energy and correlators in Chern-Simons-matter theories, confirming dualities across different supersymmetry levels.

Findings

Support for dualities between theories with different supersymmetries

Explicit calculations of thermal free energy at high temperature

Correlation functions consistent with proposed dualities

Abstract

We study $U(N)_k$ Chern-Simons theory coupled to fundamental fermions and scalars in a large $N$ `t Hooft limit. We compute the thermal free energy at high temperature, as well as two- and three-point functions of simple gauge-invariant operators. Our findings support various dualities between Chern-Simons-matter theories with $\mathcal{N}=0,1,$ and $2$ supersymmetry.