Abstract
We continue our study of multipoint correlators of scalar fields on the 1d defect CFT generated by inserting operators along the Maldacena-Wilson line in \( \mathcal{N} \) = 4 SYM. We present a weak-coupling recursion relation that captures correlators at next-to-leading order involving an arbitrary number of the elementary scalar fields ϕi and ϕ6, the latter being unprotected. We can then build correlators of composite operators by pinching the scalar fields together. As a demonstration of our method, we give explicit results for correlators containing up to six points. We also expand some selected correlators using recently obtained conformal blocks in the comb and snowflake channel, and check that the extracted low-lying CFT data is consistent with explicit computations.
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Acknowledgments
We are particularly grateful to G. Bliard, V. Forini, A. Gimenez-Grau, J. Mann, J. Plefka, L. Quintavalle, P. Van Vliet for useful discussions. PL acknowledges support from the DFG through the Emmy Noether research group “The Conformal Bootstrap Program” project number 400570283, and through the German-Israeli Project Cooperation (DIP) grant “Holography and the Swampland”. JB and GP are funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) — Projektnummer 417533893/GRK2575 “Rethinking Quantum Field Theory”.
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Barrat, J., Liendo, P. & Peveri, G. Multipoint correlators on the supersymmetric Wilson line defect CFT. Part II. Unprotected operators. J. High Energ. Phys. 2023, 198 (2023). https://doi.org/10.1007/JHEP08(2023)198
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DOI: https://doi.org/10.1007/JHEP08(2023)198