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Exact N=4 Supersymmetric Low-Energy Effective Action in N=4 Super-Yang-Mills Theory

I. L. Buchbinder·E. A. Ivanov
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Abstract

We review a recent progress in constructing the low-energy effective action of N=4 SYM theory. This theory is formulated in terms of N=2 harmonic superfields corresponding to N=2 vector multiplet and hypermultiplet. Such a formulation possesses the manifest N=2 supersymmetry and an extra hidden on-shell supersymmetry. Exploring the hidden N=2 supersymmetry we proved that the known non-holomorphic potentials of the form ln W ln \bar{W} can be explicitly completed by the appropriate hypermultiplet-dependent terms to the entire N=4 supersymmetric form. The non-logarithmic effective potentials do not admit an N=4 completion and, hence, such potentials cannot occur in N=4 supersymmetric theory. As a result we obtain the exact N=4 supersymmetric low-energy effective action in N=4 SYM theory.

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I. L. Buchbinder, E. A. Ivanov. 2002-11-08. Exact N=4 Supersymmetric Low-Energy Effective Action in N=4 Super-Yang-Mills Theory. https://arxiv.org/abs/hep-th/0211067

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