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

A. Ritz
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Abstract

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 $β$-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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A. Ritz. 1998-06-09. On The Beta-Function in N=2 Supersymmetric Yang-Mills Theory. https://doi.org/10.1016/s0370-2693(98)00748-5

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