Strong coupling expansion and Seiberg-Witten-Whitham 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.

10 pages, LaTeX, no figures; v2: The expression for the off-diagonal couplings has been corrected and numerical checks have been extended. One reference added

References in corpus (3)

• Issues in Topological Gauge Theory
• RG Equations from Whitham Hierarchy
• Whitham Hierarchies, Instanton Corrections and Soft Supersymmetry Breaking in N=2 SU(N) Super Yang-Mills Theory

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• Exploring the Strong-Coupling Region of $SU(N)$ Seiberg-Witten Theory
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• Integrable hierarchies in Donaldson-Witten and Seiberg-Witten theories
• Revisiting the Multi-Monopole Point of $SU(N)$ $\mathcal{N}=2$ Gauge Theory in Four Dimensions