Matching Exact Results and One-Instanton Predictions in N=2 Supersymmetric SU(N) Theories

TL;DR

This paper performs a detailed one-instanton test of a reparameterisation scheme in N=2 supersymmetric SU(N) gauge theories, confirming its consistency with exact low energy results across the quantum moduli space.

Contribution

It introduces and verifies a reparameterisation scheme that aligns instanton predictions with conjectured exact results in N=2 supersymmetric SU(N) theories with matter.

Findings

Constants ensuring agreement are derived for general N.

The scheme successfully eliminates discrepancies between results.

The test confirms the scheme's validity across the entire moduli space.

Abstract

A one-instanton level test is performed for the proposed reparameterisation scheme matching the conjectured exact low energy results and instanton predictions for N=2 supersymmetric SU(N) gauge theories with 2N massless fundamental matter hypermultiplets across the entire quantum moduli space. The constants within the scheme which ensure agreement between the exact results and the instanton predictions for general N are derived. This constitutes a non-trivial test of the scheme, which eliminates the discrepancies arising when the two sets of results are compared.