# Multi-cut Solutions in Chern-Simons Matrix Models

## TL;DR

This paper investigates the unique multi-cut solutions in Chern-Simons matrix models at large N, deriving exact two-cut solutions and proposing interpretations related to D2-brane instantons.

## Contribution

It reveals the existence of multi-cut solutions in CS matrix models and derives exact finite 't Hooft coupling solutions, offering new insights into their structure.

## Key findings

- Existence of multi-cut solutions in CS matrix models
- Exact derivation of two-cut solutions at finite coupling
- Potential interpretation of solutions as D2-brane instanton condensates

## Abstract

We elaborate the Chern-Simons (CS) matrix models at large $N$. The saddle point equations of these matrix models have a curious structure which cannot be seen in the ordinary one matrix models. Thanks to this structure, an infinite number of multi-cut solutions exist in the CS matrix models. Particularly we exactly derive the two-cut solutions at finite 't\,Hooft coupling in the pure CS matrix model. In the ABJM matrix model, we argue that some of multi-cut solutions might be interpreted as a condensation of the D2-brane instantons.