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Monodromy line defects on the fuzzy sphere
Abstract
Monodromy line defects are of interest in the defect bootstrap program and are dual to electrically charged objects in dual gauge field descriptions. We investigate the Ising monodromy dCFT using a fuzzy sphere regularization, by imposing the twisted boundary condition in the UV. We obtain defect scaling dimensions Δ̂ and ratios of defect operator expansion (DOE) coefficients using this method. We extend this machinery to the continuous family of O(2) monodromy defects with twist angle 2πν. In both cases, the lowest neutral defect scalar lies above dimension one, providing evidence that the monodromy defect reaches a stable dCFT without additional fine tuning.
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BibTeX
@misc{qian2026monodromy,
title = {{Monodromy line defects on the fuzzy sphere}},
author = {Jiangyuan Qian},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27926},
eprint = {2610.27926},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27926},
}
RIS
TY - UNPB
TI - Monodromy line defects on the fuzzy sphere
AU - Jiangyuan Qian
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.27926
UR - https://arxiv.org/abs/2610.27926
AB - Monodromy line defects are of interest in the defect bootstrap program and are dual to electrically charged objects in dual gauge field descriptions. We investigate the Ising monodromy dCFT using a fuzzy sphere regularization, by imposing the twisted boundary condition in the UV. We obtain defect scaling dimensions Δ̂ and ratios of defect operator expansion (DOE) coefficients using this method. We extend this machinery to the continuous family of O(2) monodromy defects with twist angle 2πν. In both cases, the lowest neutral defect scalar lies above dimension one, providing evidence that the monodromy defect reaches a stable dCFT without additional fine tuning.
ER -