Universal sectors in superconformal defects
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 BPS line in SYM, gauge theories and ABJM, up to the first subleading order in the strong-coupling expansion. We further analyze the BPS line in 3d 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 BPS Wilson line in ABJM, presenting initial results from the strong-coupling analysis.
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