Prepotential of $N=2$ Supersymmetric Yang-Mills Theories in the Weak Coupling Region

Abstract

We show how to obtain the explicite form of the low energy quantum effective action for $N=2$ supersymmetric Yang-Mills theory in the weak coupling region from the underlying hyperelliptic Riemann surface. This is achieved by evaluating the integral representation of the fields explicitly. We calculate the leading instanton corrections for the group $SU(\nc), SO(N)$ and $SP(2N)$ and find that the one-instanton contribution of the prepotentials for the these group coincide with the one obtained recently by using the direct instanton caluculation.

13 pages, LaTeX

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Cited by in corpus (5)

• Introduction to Seiberg-Witten Theory and its Stringy Origin
• Elliptic models and M-theory
• Exploring the Strong-Coupling Region of $SU(N)$ Seiberg-Witten Theory
• Geometric Engineering of Seiberg-Witten Theories with Massive Hypermultiplets
• One-Instanton Prepotentials from WDVV equations in N=2 Supersymmetric SU(4) Yang-Mills Theory