Akin N = 2 SUSY Yang Mills Theories and Instanton Expansion

摘要

The low energy effective actions of the N = 2 SUSY SU(N_c) QCD are considered at the symmetric point on the moduli space. The classes of such theories have similar spectral curves. This fact allows us to show that all these models have the same structure of the coupling matrix and to show that the N_f = 2N_c spectral curve can not be presented as a double covering of the sphere. We calculate first instanton contributions to the coupling matrix and get nonperturbative β-functions in the SU(2) gauge theory with non-zero bare masses of the matter hypermultiplets.