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PreprintCC BY 4.0arXiv

New Exotic Operators in the Spectrum of Wilson Lines in General Representations

Abstract

Wilson lines are fundamental probes of gauge theories. We show that, in sufficiently rich representations, they support a large new class of operator insertions. For half-BPS lines in 𝒩=4 SYM, some have the quantum numbers of the displacement supermultiplet and define natural defect deformations. By relating their beta-functions to chiral ring OPE coefficients, we show that these deformations are marginally irrelevant, meaning the half-BPS line is IR stable for all representations. We connect these deformations to multidimensional RG flows and find evidence for new conformal line defects.

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BibTeX
@misc{artico2026exotic,
  title = {{New Exotic Operators in the Spectrum of Wilson Lines in General Representations}},
  author = {Daniele Artico and Carlo Meneghelli and Michele Savi and Rudolfs Treilis},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.07738},
  eprint = {2606.07738},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.07738},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - New Exotic Operators in the Spectrum of Wilson Lines in General Representations
AU  - Daniele Artico
AU  - Carlo Meneghelli
AU  - Michele Savi
AU  - Rudolfs Treilis
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2606.07738
UR  - https://arxiv.org/abs/2606.07738
AB  - Wilson lines are fundamental probes of gauge theories. We show that, in sufficiently rich representations, they support a large new class of operator insertions. For half-BPS lines in 𝒩=4 SYM, some have the quantum numbers of the displacement supermultiplet and define natural defect deformations. By relating their beta-functions to chiral ring OPE coefficients, we show that these deformations are marginally irrelevant, meaning the half-BPS line is IR stable for all representations. We connect these deformations to multidimensional RG flows and find evidence for new conformal line defects.
ER  -