Abstract
We compute instanton corrections to non-minimal correlation functions of chiral primary operators in the \( \mathcal{N} \) = 4 super Yang-Mills super-current multiplet. Using a representation in terms of Mellin integrals, we find that these corrections can be written as conformal integrals in AdS5 times certain “kinematic” prefactors that are independent of the instanton moduli. We then consider the consecutive, pairwise light-like limit \( x_{i,i+1}^2\to 0 \) of such correlators, and prove that the ratio between the instanton contribution and the corresponding tree-level expression vanishes in this limit. We also speculate on the extension to the non-perturbative level of the proposed duality with polygonal Wilson loops and briefly discuss its potential implications for scattering amplitudes.
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Bianchi, M., Brandhuber, A., Travaglini, G. et al. Simplifying instanton corrections to \( \mathcal{N} \) = 4 SYM correlators. J. High Energ. Phys. 2014, 101 (2014). https://doi.org/10.1007/JHEP04(2014)101
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DOI: https://doi.org/10.1007/JHEP04(2014)101