WDVV Equations and Seiberg-Witten theory
A.Mironov
TL;DR
This paper reviews the connection between WDVV equations, associativity algebras, and Seiberg-Witten solutions in N=2 SUSY gauge theories, emphasizing integrable systems and conditions for WDVV validity.
Contribution
It provides a comprehensive review of how WDVV equations relate to Seiberg-Witten solutions and integrable systems in supersymmetric gauge theories.
Findings
WDVV equations hold for specific Seiberg-Witten solutions
The integrable approach clarifies the structure of associativity algebras
Covariance properties of WDVV equations are discussed
Abstract
We present a review of the results on the associativity algebras and WDVV equations associated with the Seiberg-Witten solutions of N=2 SUSY gauge theories. It is mostly based on the integrable treatment of these solutions. We consider various examples of the Seiberg-Witten solutions and corresponding integrable systems and discuss when the WDVV equations hold. We also discuss a covariance of the general WDVV equations.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Black Holes and Theoretical Physics