Nonperturbative effective actions of (N=2)-Supersymmetric gauge theories

Klemm, Albrecht; Lerche, Wolfgang; Theisen, Stefan

doi:10.1142/S0217751X96001000

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Nonperturbative effective actions of (N=2)-Supersymmetric gauge theories

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Theisen, Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Klemm, A., Lerche, W., & Theisen, S. (1996). Nonperturbative effective actions of (N=2)-Supersymmetric gauge theories. International Journal of Modern Physics A, 11(11), 1929-1973. doi:10.1142/S0217751X96001000.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5B4C-C

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 F4, and compute the exact quantum gauge coupling explicitly in terms of Appell functions.