Nonperturbative Effective Actions of N=2 Supersymmetric Gauge Theories

Details Nonperturbative Effective Actions of N=2 Supersymmetric Gauge Theories Nonperturbative Effective Actions of N=2 Supersymmetric Gauge Theories

1995-05-24

arxiv.org/abs/hep-th/9505150v1

Int.J.Mod.Phys. A11 (1996) 1929-1974

Physics

High Energy Physics

High Energy Physics - Theory

57p, harvmac with hyperlinks, 9 uuencoded ps figures

Scientific paper

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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