Many roads lead to N=2 Seiberg-Witten theory

TL;DR

This paper reviews various approaches to N=2 Seiberg-Witten theory, emphasizing string theory, matrix models, integrable systems, and instanton calculations, highlighting their interconnected roles in understanding supersymmetric gauge theories.

Contribution

It synthesizes multiple methods—string theory, matrix models, integrable systems, instantons—showing their interconnectedness in studying N=2 Seiberg-Witten theory.

Findings

String theory and matrix models provide complementary insights.

Integrable models and instanton calculations are crucial tools.

Unified perspective enhances understanding of supersymmetric gauge theories.

Abstract

The Seiberg-Witten solution plays a central role in the study of N=2 supersymmetric gauge theories. As such, it provides a proving ground for a wide variety of techniques to treat such problems. In this review we concentrate on the role of IIA string theory/M theory and the Dijkgraaf-Vafa matrix model, though integrable models and microscopic instanton calculations are also of considerable importance in this subject.