Abstract
We study multipoint correlators of protected scalars on the Maldacena-Wilson line in \( \mathcal{N} \) = 4 SYM. Working at weak coupling in the planar limit, we derive an explicit recursion relation that captures next-to-leading order correlators with an arbitrary number of insertions of the fundamental scalar field. By pinching fundamental scalars together, we can build composite protected operators with higher values of the R-charge. Our result then encompasses arbitrary n-point correlators of protected operators with arbitrary weight. As a demonstration of our method, we give explicit formulae for correlators with up to six points. Using these results we observe that all our correlators are annihilated by a special class of differential operators. We conjecture that these differential operators are non-perturbative constraints and can be considered a multipoint extension of the superconformal Ward identities satisfied by four-point functions.
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Barrat, J., Liendo, P., Peveri, G. et al. Multipoint correlators on the supersymmetric Wilson line defect CFT. J. High Energ. Phys. 2022, 67 (2022). https://doi.org/10.1007/JHEP08(2022)067
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DOI: https://doi.org/10.1007/JHEP08(2022)067