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PreprintarXiv licencearXiv

Defect Anomalies at a Distance

  • Oleksandr Diatlyk
  • Zimo Sun
  • Yifan Wang
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Abstract

Surface defects carry Weyl and gravitational anomalies that generalize the central charges of two-dimensional conformal field theories (CFTs) and characterize the anomalous response of gapless surface modes to background geometry. These anomalies usually appear as contact terms on the defect. We explain how they are encoded at a distance, in scheme-independent integrated bulk stress-tensor correlators. We derive sum rules for them in terms of defect operator data, establish a lower bound on the boundary Weyl anomaly in three-dimensional CFTs, and illustrate our results with explicit examples.

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Cite

BibTeXRIS
BibTeX
@misc{diatlyk2026defect,
  title = {{Defect Anomalies at a Distance}},
  author = {Oleksandr Diatlyk and Zimo Sun and Yifan Wang},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08476},
  eprint = {2611.08476},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08476},
}
RIS
TY  - UNPB
TI  - Defect Anomalies at a Distance
AU  - Oleksandr Diatlyk
AU  - Zimo Sun
AU  - Yifan Wang
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08476
UR  - https://arxiv.org/abs/2611.08476
AB  - Surface defects carry Weyl and gravitational anomalies that generalize the central charges of two-dimensional conformal field theories (CFTs) and characterize the anomalous response of gapless surface modes to background geometry. These anomalies usually appear as contact terms on the defect. We explain how they are encoded at a distance, in scheme-independent integrated bulk stress-tensor correlators. We derive sum rules for them in terms of defect operator data, establish a lower bound on the boundary Weyl anomaly in three-dimensional CFTs, and illustrate our results with explicit examples.
ER  -