Testing Seiberg-Witten Solution

TL;DR

This paper proposes tests for Seiberg-Witten solutions in N=2 supersymmetric gauge theories using instanton calculus, clarifying duality transformations and contact terms, with relevance to ADHM integration.

Contribution

It introduces a formalism for testing Seiberg-Witten solutions via instanton calculus, enhancing understanding of duality and contact terms in supersymmetric gauge theories.

Findings

Formalism for duality transformations clarified

Contact terms fixed in broad class of theories

Relevance of ADHM integration discussed

Abstract

We propose a few tests of Seiberg-Witten solutions of $\mathcal{N}=2$ supersymmetric gauge theories by the instanton calculus in twisted gauge theories. We re-examine the low-energy effective abelian theory in the presence of sources and present the formalism which makes duality transformations transparent and easily fixes all the contact terms in a broad class of theories. We also discuss ADHM integration and its relevance to the stated problems.