The Renormalization Group Equation in N=2 Supersymmetric Gauge Theories

Details The Renormalization Group Equation in N=2 Supersymmetric Gauge Theories The Renormalization Group Equation in N=2 Supersymmetric Gauge Theories

1996-10-20

arxiv.org/abs/hep-th/9610156v1

Nucl.Phys. B494 (1997) 89-104

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Plain Tex, no macros needed

Scientific paper

10.1016/S0550-3213(97)00156-9

We clarify the mass dependence of the effective prepotential in N=2 supersymmetric SU(N_c) gauge theories with an arbitrary number N_f<2N_c of flavors. The resulting differential equation for the prepotential extends the equations obtained previously for SU(2) and for zero masses. It can be viewed as an exact renormalization group equation for the prepotential, with the beta function given by a modular form. We derive an explicit formula for this modular form when N_f=0, and verify the equation to 2-instanton order in the weak-coupling regime for arbitrary N_f and N_c.

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