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arXiv · hep-th/9505150

Nonperturbative Effective Actions of N=2 Supersymmetric Gauge Theories

A. Klemm·W. Lerche·S. Theisen
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Abstract

We elaborate on our previous work on N=2 supersymmetric Yang-Mills theory. In particular, we show how to explicitly determine the low energy quantum effective action for $G=SU(3)$ from the underlying hyperelliptic Riemann surface, and calculate the leading instanton corrections. This is done by solving Picard-Fuchs equations and asymptotically evaluating period integrals. We find that the dynamics of the $SU(3)$ theory is governed by an Appell system of type $F_4$, and compute the exact quantum gauge coupling explicitly in terms of Appell functions.

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A. Klemm, W. Lerche, S. Theisen. 1995-05-24. Nonperturbative Effective Actions of N=2 Supersymmetric Gauge Theories. https://doi.org/10.1142/s0217751x96001000

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