On Explicit Evaluations Around the Conformal Point in N=2 Supersymmetric Yang-Mills Theories

Details On Explicit Evaluations Around the Conformal Point in N=2 Supersymmetric Yang-Mills Theories On Explicit Evaluations Around the Conformal Point in N=2 Supersymmetric Yang-Mills Theories

1996-12-27

arxiv.org/abs/hep-th/9612240v1

Nucl.Phys. B495 (1997) 149-171

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LaTeX

Scientific paper

10.1016/S0550-3213(97)00199-5

We show how to give the expression for periods, Higgs field and its dual of N=2 supersymmetric Yang-Mills theory around the conformal point. This is achieved by evaluating the integral representation in the weak coupling region, and by using analytic continuation to the conformal point. The explicit representation is shown for the SU(2) theory with matter fields and also for pure SU(N) and pure SO(2N) theory around the conformal point where the relation to the beta function of the theory is clarified. We also discuss a relation between the fixed points in the SU(2) theories with matter fields and the Landau-Ginzburg point of 2-D N=2 SCFT.

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