Strong coupling expansion and Seiberg-Witten-Whitham equations

TL;DR

This paper investigates the strong coupling regime of N=2 super Yang-Mills theory using Seiberg-Witten-Whitham equations, revealing how these equations constrain the theory's expansion near maximal singularities, especially for SU(2) and higher rank groups.

Contribution

It demonstrates that Seiberg-Witten-Whitham equations fully determine the strong coupling expansion for SU(2) and impose constraints for higher rank SU(N) theories.

Findings

Seiberg-Witten-Whitham equations fix the strong coupling expansion for SU(2).

They provide non-trivial constraints on the expansion for SU(N) with N>2.

An ansatz for off-diagonal couplings at the maximal point satisfies all equations.

Abstract

We study the Seiberg-Witten-Whitham equations in the strong coupling regime of the N=2 super Yang-Mills theory in the vicinity of the maximal singularities. In the case of SU(2) the Seiberg-Witten-Whitham equations fix completely the strong coupling expansion. For higher rank SU(N) they provide a set of non-trivial constraints on the form of this expansion. As an example, we study the off-diagonal couplings at the maximal point for which we propose an ansatz that fulfills all the equations.