WDVV Equations in Seiberg-Witten theory and associative algebras

TL;DR

This paper reviews recent developments connecting WDVV equations and associativity algebras within Seiberg-Witten solutions of N=2 supersymmetric gauge theories, emphasizing their integrable system approach.

Contribution

It summarizes the recent findings on the algebraic structures and WDVV equations associated with Seiberg-Witten solutions, highlighting the integrable systems perspective.

Findings

Identification of associativity algebras in Seiberg-Witten theory

Derivation of WDVV equations from integrable systems

Connection between algebraic structures and supersymmetric gauge theories

Abstract

This is a short review of the results on the associativity algebras and WDVV equations found recently for the Seiberg-Witten solutions of N=2 4d SUSY gauge theories. The presentation is mostly based on the integrable treatment of these solutions.