Seiberg-Witten Curves and Integrable Systems

TL;DR

This paper explores the connection between Seiberg-Witten curves and integrable systems, detailing their origins, motivations, and explicit constructions within various models.

Contribution

It provides a comprehensive introduction and explicit methods for constructing Seiberg-Witten curves using integrable systems, highlighting their interrelation.

Findings

Explicit construction methods for Seiberg-Witten curves

Clarification of the relation between curves and integrable models

Motivations behind linking Seiberg-Witten theory with integrable systems

Abstract

This talk gives an introduction into the subject of Seiberg-Witten curves and their relation to integrable systems. We discuss some motivations and origins of this relation and consider explicit construction of various families of Seiberg-Witten curves in terms of corresponding integrable models.