Uniqueness of the Seiberg-Witten Effective Lagrangian

TL;DR

This paper proves that the Seiberg-Witten effective Lagrangian for N=2 supersymmetric Yang-Mills theory is uniquely determined by basic assumptions, making duality a derived consequence rather than an initial premise.

Contribution

It establishes the uniqueness of the Seiberg-Witten Lagrangian under minimal assumptions, clarifying the foundational structure of the theory.

Findings

Uniqueness of the Seiberg-Witten Lagrangian proven

Duality emerges as a consequence, not an assumption

Finite strong-coupling singularities are essential

Abstract

The low energy effective Lagrangian for $N\es 2$ supersymmetric Yang-Mills theory, proposed by Seiberg and Witten is shown to be the unique solution, assuming only that supersymmetry is unbroken and that the number of strong-coupling singularities is finite. Duality is then a consequence rather than an input.