Integrability and Seiberg-Witten theory

TL;DR

This paper explores the connection between integrable systems and low-energy supersymmetric gauge theories in four dimensions, providing exact descriptions for N=2 and N=4 theories using one-dimensional integrable models.

Contribution

It offers a novel exact framework linking supersymmetric gauge theories to integrable systems, advancing understanding of their low-energy dynamics.

Findings

Exact descriptions of N=2 and N=4 SUSY gauge theories via integrable systems

Identification of specific 1d integrable models corresponding to gauge theories

Enhanced understanding of the mathematical structure underlying supersymmetric theories

Abstract

A summary of results is presented, which provide exact description of the low-energy $4d$ $N=2$ and $N=4$ SUSY gauge theories in terms of $1d$ integrable systems.