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Low-energy next-to-leading contributions to the effective action in ${\cal N}=4$ SYM theory

A. T. Banin·N. G. Pletnev
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Abstract

Using formulation of ${\cal N}=4$ SYM theory in terms of ${\cal N}=1$ superfields superfields we construct the derivative expansion of the one-loop ${\cal N}=4$ SYM effective action in background fields corresponding to constant Abelian strength $F_{mn}$ and constant hypermultiplet. Any term of the effective action derivative expansion can be rewritten in terms of ${\cal N}=2$ superfields. The action is manifestly ${\cal N}=2$ supersymmetric but on-shell hidden ${\cal N}=2$ supersymmetry is violated. We propose a procedure which allows to restore the hidden ${\cal N}=2$ invariance.

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A. T. Banin, N. G. Pletnev. 2004-01-05. Low-energy next-to-leading contributions to the effective action in ${\cal N}=4$ SYM theory. https://arxiv.org/abs/hep-th/0401007

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