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PreprintCC BY 4.0arXiv

Bootstrapping Wilson lines in Critical Bosonic QED3 Part 1: Large-N endpoint correlators and CFT data

  • Jun Maeda
  • Toshiki Onagi
  • Soichiro Shimamori
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Abstract

We study the conformal Wilson line with general charge q in critical bosonic QED3 with N complex scalar flavors by combining diagrammatic four-point calculations with endpoint crossing. We formulate the endpoint crossing equations with the full SU(N) flavor structure, keeping positivity manifest. For arbitrary positive integer charge q held fixed at large N, we obtain closed-form expressions for four-endpoint correlators and mixed correlators involving two bulk Hubbard--Stratonovich fields through first subleading order in 1/N. These results determine the endpoint dimension, the defect g-function, and the dimensions and endpoint OPE coefficients of the lowest non-singlet Wilson-line primaries. Moreover, combining the diagrammatic correlator with endpoint crossing, somewhat surprisingly, we find agreement between the bulk and Wilson-line spectra in every non-singlet flavor channel through order 1/N. At degenerate levels, this agreement concerns the OPE-weighted averages of anomalous dimensions probed by the endpoint correlator. For unit charge, we independently reproduce these averages from the known bulk higher-spin spectrum.

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Cite

BibTeXRIS
BibTeX
@misc{maeda2026bootstrapping,
  title = {{Bootstrapping Wilson lines in Critical Bosonic QED$_3$ Part 1: Large-$N$ endpoint correlators and CFT data}},
  author = {Jun Maeda and Toshiki Onagi and Soichiro Shimamori},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.38663},
  eprint = {2610.38663},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.38663},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Bootstrapping Wilson lines in Critical Bosonic QED_3 Part 1: Large-N endpoint correlators and CFT data
AU  - Jun Maeda
AU  - Toshiki Onagi
AU  - Soichiro Shimamori
PY  - 2026
DA  - 2026/10/28
PB  - arXiv
DO  - 10.48550/arxiv.2610.38663
UR  - https://arxiv.org/abs/2610.38663
AB  - We study the conformal Wilson line with general charge q in critical bosonic QED_3 with N complex scalar flavors by combining diagrammatic four-point calculations with endpoint crossing. We formulate the endpoint crossing equations with the full SU(N) flavor structure, keeping positivity manifest. For arbitrary positive integer charge q held fixed at large N, we obtain closed-form expressions for four-endpoint correlators and mixed correlators involving two bulk Hubbard--Stratonovich fields through first subleading order in 1/N. These results determine the endpoint dimension, the defect g-function, and the dimensions and endpoint OPE coefficients of the lowest non-singlet Wilson-line primaries. Moreover, combining the diagrammatic correlator with endpoint crossing, somewhat surprisingly, we find agreement between the bulk and Wilson-line spectra in every non-singlet flavor channel through order 1/N. At degenerate levels, this agreement concerns the OPE-weighted averages of anomalous dimensions probed by the endpoint correlator. For unit charge, we independently reproduce these averages from the known bulk higher-spin spectrum.
ER  -