Abstract
We compute the one-instanton effective action of \( \mathcal{N}=4 \) super Yang-Mills theory with gauge group Sp(2N). The result can be written in a very compact and manifestly supersymmetric form involving an integral over the superspace of an irrational function of the \( \mathcal{N}=4 \) on-shell superfields. In the Coulomb branch, the instanton corrects both the MHV and next-to-next-MHV higher derivative terms D 4 F 2n+2 and F 2n+4. We confirm at the non-perturbative level the non-renormalization theorems for MHV F 2n+2 terms that are expected to receive perturbative corrections only at n-loops. We compute also the one and two-loop corrections to the D 4 F 4 term and show that its completion under \( \mathrm{S}\mathrm{L}\left(2,\mathrm{\mathbb{Z}}\right) \) duality is consistent with the one-instanton results of U(2) gauge group.
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Bianchi, M., Morales, J.F. & Wen, C. Instanton corrections to the effective action of \( \mathcal{N}=4 \) SYM. J. High Energ. Phys. 2015, 6 (2015). https://doi.org/10.1007/JHEP11(2015)006
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DOI: https://doi.org/10.1007/JHEP11(2015)006