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PreprintarXiv licencearXiv

Cusped Defects: Cusp Operator Expansion, Conformal Properties and Bootstrap Applications

  • Lorenzo Bianchi
  • Andrea Cavaglià
  • A. David Gutiérrez
  • Stefanos R. Kousvos
  • Marco Meineri
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Abstract

We analyze general properties of cusped defect lines embedded in generic conformal field theories (CFTs). We prove that suitably defined cusp scaling operators transform like primary operators under general conformal transformations. We show that, via the cusp operator expansion (COE), defects of general shape can be expanded in a basis of cusped defects. These findings are checked and exemplified in the case of the localized magnetic field defect. Finally, we derive analytic constraints on dynamical cusp data by making use of a crossing equation, and discuss possible numerical bootstrap applications of our results.

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Cite

BibTeXRIS
BibTeX
@misc{bianchi2026cusped,
  title = {{Cusped Defects: Cusp Operator Expansion, Conformal Properties and Bootstrap Applications}},
  author = {Lorenzo Bianchi and Andrea Cavaglià and A. David Gutiérrez and Stefanos R. Kousvos and Marco Meineri},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.04035},
  eprint = {2609.04035},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.04035},
}
RIS
TY  - UNPB
TI  - Cusped Defects: Cusp Operator Expansion, Conformal Properties and Bootstrap Applications
AU  - Lorenzo Bianchi
AU  - Andrea Cavaglià
AU  - A. David Gutiérrez
AU  - Stefanos R. Kousvos
AU  - Marco Meineri
PY  - 2026
DA  - 2026/09/03
PB  - arXiv
DO  - 10.48550/arxiv.2609.04035
UR  - https://arxiv.org/abs/2609.04035
AB  - We analyze general properties of cusped defect lines embedded in generic conformal field theories (CFTs). We prove that suitably defined cusp scaling operators transform like primary operators under general conformal transformations. We show that, via the cusp operator expansion (COE), defects of general shape can be expanded in a basis of cusped defects. These findings are checked and exemplified in the case of the localized magnetic field defect. Finally, we derive analytic constraints on dynamical cusp data by making use of a crossing equation, and discuss possible numerical bootstrap applications of our results.
ER  -