Strong Coupling Expansions of SU(N) Seiberg-Witten Theory

TL;DR

This paper develops a systematic strong coupling expansion for SU(N) ${\

Contribution

It introduces a novel strong coupling expansion method for ${\cal N}=2$ SU(N) Seiberg-Witten theories, including the first non-perturbative correction linking U(1) factors.

Findings

Derived the first non-trivial strong coupling correction.

Established a coupling between different U(1) factors.

Provided insights into gaugino Yukawa couplings at strong coupling.

Abstract

We set up a systematic expansion of the prepotential for ${\cal N}=2$ supersymmetric Yang-Mills theories with SU(N) gauge group in the region of strong coupling where a maximal number of mutually local fields become massless. In particular, we derive the first non-trivial non-perturbative correction, which is the first term in the strong coupling expansion providing a coupling between the different U(1) factors, and which governs for example the strength of gaugino Yukawa couplings.