English

Universal sectors in superconformal defects

High Energy Physics - Theory 2026-03-13 v2

Abstract

We study universal features of defect correlation functions in supersymmetric defect CFTs, focusing on four-point functions of the displacement supermultiplet. By perturbing the leading-order correlators at strong coupling, we derive constraints that identify the operators exchanged at next-to-leading order. From this, we determine the conditions under which four-point functions of defect insertions across different theories are equivalent, thereby establishing universality. We confirm these features in examples including the 1/21/2 BPS line in N=4\mathcal{N}=4 SYM, N=2\mathcal{N}=2 gauge theories and ABJM, up to the first subleading order in the strong-coupling expansion. We further analyze the 1/21/2 BPS line in 3d N=2\mathcal{N}=2 Chern-Simons-matter theories, identifying the preserved defect algebra and the superdisplacement multiplet. Exploiting universality, we find the superdisplacement four-point functions of defect operators and extract the conformal data at first subleading order. Finally, we comment on the 1/31/3 BPS Wilson line in ABJM, presenting initial results from the strong-coupling analysis.

Keywords

Cite

@article{arxiv.2510.06950,
  title  = {Universal sectors in superconformal defects},
  author = {Riccardo Giordana Pozzi},
  journal= {arXiv preprint arXiv:2510.06950},
  year   = {2026}
}

Comments

59 pages; v2 61 pages, minor changes and additional references

R2 v1 2026-07-01T06:23:42.463Z