Akin $N=2$ SUSY Yang Mills Theories and Instanton Expansion

Details Akin $N=2$ SUSY Yang Mills Theories and Instanton Expansion Akin $N=2$ SUSY Yang Mills Theories and Instanton Expansion

1996-07-22

arxiv.org/abs/hep-th/9607169v1

Phys.Lett.B391:115-123,1997

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 10 pages, 1 figure

Scientific paper

10.1016/S0370-2693(96)01454-2

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 $\beta$-functions in the $SU(2)$ gauge theory with non-zero bare masses of the matter hypermultiplets.

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