# Cluster Algebras and Supersymmetric Gauge Theories

## TL;DR

This paper reviews the emergence of quantum cluster algebras in the context of four-dimensional  supersymmetric gauge theories, highlighting their mathematical and physical significance.

## Contribution

It provides a comprehensive review of how cluster algebras are connected to supersymmetric gauge theories, emphasizing their role in understanding these theories.

## Key findings

- Cluster algebras naturally appear in  supersymmetric gauge theories.
- The review clarifies the mathematical structure underlying these physical theories.
- Connections between quantum cluster algebras and gauge theory dynamics are elucidated.

## Abstract

We review how the (quantum) cluster algebra naturally emerges in the study of four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories.