Abstract
We develop a novel bi-harmonic \( \mathcal{N} \) = 4 superspace formulation of the \( \mathcal{N} \) = 4 supersymmetric Yang-Mills theory (SYM) in four dimensions. In this approach, the \( \mathcal{N} \) = 4 SYM superfield constraints are solved in terms of on-shell \( \mathcal{N} \) = 2 harmonic superfields. Such an approach provides a convenient tool of constructing the manifestly \( \mathcal{N} \) = 4 supersymmetric invariants and further rewriting them in \( \mathcal{N} \) = 2 harmonic superspace. In particular, we present \( \mathcal{N} \) = 4 superfield form of the leading term in the \( \mathcal{N} \) = 4 SYM effective action which was known previously in \( \mathcal{N} \) = 2 superspace formulation.
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Dedicated to S. James Gates Jr. on the occasion of his 70th birthday.
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Buchbinder, I.L., Ivanov, E.A. & Ivanovskiy, V.A. New bi-harmonic superspace formulation of 4D, \( \mathcal{N} \) = 4 SYM theory. J. High Energ. Phys. 2021, 10 (2021). https://doi.org/10.1007/JHEP04(2021)010
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DOI: https://doi.org/10.1007/JHEP04(2021)010