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We compute the one-loop holomorphic effective action of the massless Cartansector of N=2 SYM theory in the Coulomb branch, taking into account thecontributions both from the charged hypermultiplets and off-diagonal componentsof the gauge superfield. We use the manifestly supersymmetric harmonicsuperfields diagram techniques adapted to N=2 supersymmetry with the centralcharges induced by Cartan generators. The (anti)holomorphic part proves to beproportional to the central charges and it has the generic form of Seiberg'saction obtained by integrating U(1) R-anomaly. It vanishes for N=4 SYM theory,i.e. the coupled system of N=2 gauge superfield and hypermultiplet in theadjoint representation.Comment: 16 pages, Latex, FEYNMAN macros include

HOLOMORPHIC EFFECTIVE ACTION OF N=2 SYM THEORY FROM HARMONIC SUPERSPACE WITH CENTRAL CHARGES