# Strong Coupling Limit of A Family of Chern-Simons-matter Theories

## TL;DR

This paper analyzes the behavior of a class of ${
m U}(N)_k$ Chern-Simons-matter theories with bi-fundamental matter in the strong coupling limit, revealing finite observable limits and connections to Kac-Moody algebras.

## Contribution

It provides the first detailed study of the strong coupling behavior of these ${
m N}=3$ Chern-Simons-matter theories and links their spectral curves to Kac-Moody algebra structures.

## Key findings

- Observables have finite limits at large 't Hooft coupling.
- Spectral curves are governed by Kac-Moody algebras.
- Possible gravity duals are discussed.

## Abstract

We investigate the strong coupling limit of a family of Chern-Simons-matter theories in the planar limit. The family consists of ${\cal N}=3$ theories with the gauge group ${\rm U}(N_1)_{k_1}\times{\rm U}(N_2)_{k_2}$ coupled to $n$ bi-fundamental hypermultiplets. All observables which can be determined from the planar resolvent turn out to have finite limits in the large 't Hooft coupling limit. Possible gravity duals are briefly discussed. We observe that Kac-Moody algebras govern the structure of the planar spectral curves of the theories.