Seiberg-Witten/Whitham Equations and Instanton Corrections in N = 2 Supersymmetric Yang-Mills Theory

摘要

We obtain the instanton correction recursion relations for the low energy effective prepotential in pure N = 2 SU(n) supersymmetric Yang-Mills gauge theory from Whitham hierarchy and Seiberg-Witten/Whitham equations. These formulae provide us a powerful tool to calculate arbitrary order instanton corrections coefficients from the perturbative contributions of the effective prepotential in Seiberg-Witten gauge theory. We apply this idea to evaluate one-and two-order instanton corrections coefficients explicitly in SU(n) case in detail through the dynamical scale parameter expressed in terms of Riemann's theta-function.