English

Perturbative bootstrap of the Wilson-line defect CFT: Bulk-defect-defect correlators

High Energy Physics - Theory 2026-01-15 v4

Abstract

We study the correlators of bulk and defect half-BPS operators in N=4\mathcal{N}=4 Super Yang-Mills theory with a Maldacena-Wilson line defect, focusing on the case involving one bulk and two defect local operators. We analyze the non-perturbative constraints on these correlators, which include a topological sector, pinching and splitting limits, and we compute a variety of bulk-defect-defect correlators up to next-to-leading order at weak coupling, surprisingly observing that transcendental terms cancel. Additionally, we provide results in the strong-coupling regime for the first two leading orders using a mixture of Witten diagrams and non-perturbative constraints.

Keywords

Cite

@article{arxiv.2410.08273,
  title  = {Perturbative bootstrap of the Wilson-line defect CFT: Bulk-defect-defect correlators},
  author = {Daniele Artico and Julien Barrat and Yingxuan Xu},
  journal= {arXiv preprint arXiv:2410.08273},
  year   = {2026}
}

Comments

47 pages, 7 figures, 1 table. v4 includes a completely new section on large N scaling of defect CFT data and a revised strong coupling calculation. We updated the acknowledgments and the references and fixed minor typos

R2 v1 2026-06-28T19:16:54.993Z