On The Beta-Function in N=2 Supersymmetric Yang-Mills Theory

Details On The Beta-Function in N=2 Supersymmetric Yang-Mills Theory On The Beta-Function in N=2 Supersymmetric Yang-Mills Theory

1997-10-14

arxiv.org/abs/hep-th/9710112v2

Phys.Lett. B434 (1998) 54-60

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, analysis in section 3 modified, to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(98)00748-5

The constraints of N=2 supersymmetry, in combination with several other quite general assumptions, have recently been used to show that N=2 supersymmetric Yang-Mills theory has a low energy quantum parameter space symmetry characterised by the discrete group $\gu$. We show that if one also assumes the commutativity of renormalization group flow with the action of this group on the complexified coupling constant $\ta$, then this is sufficient to determine the non-perturbative $\beta$-function, given knowledge of its weak coupling behaviour. The result coincides with the outcome of direct calculations from the Seiberg-Witten solution.

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