A-D-E Singularity and Prepotentials in N=2 Supersymmetric Yang-Mills Theory

Abstract

We calculate the instanton corrections in the effective prepotential for N=2 supersymmetric Yang-Mills theory with all A-D-E gauge groups from the Seiberg-Witten geometry constructed out of the spectral curves of the affine Toda lattice. The one-instanton contribution is determined explicitly by solving the Gauss-Manin system associated with the A-D-E singularity. Our results are in complete agreement with the ones obtained from the microscopic instanton calculations.

22 pages, latex, to be published in Int. J. Mod. Phys. A

References in corpus (3)

• Picard-Fuchs Equations and Prepotential in N=2 Supersymmetric G_{2} Yang-Mills Theory
• A New Description of the E_6 Singularity
• Periods and Prepotential of N=2 Supersymmetric E_6 Yang-Mills Theory

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• Instanton Correction of Prepotential in Ruijsenaars Model Associated with N=2 SU(2) Seiberg-Witten Theory
• One-Instanton Prepotentials from WDVV equations in N=2 Supersymmetric SU(4) Yang-Mills Theory