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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2509.21279 |
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| _version_ | 1866915658553360384 |
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| author | Shao, Shu-Heng Zhong, Siwei |
| author_facet | Shao, Shu-Heng Zhong, Siwei |
| contents | We study novel conformal twist defects in 4d Maxwell theory, around which electric and magnetic fields are exchanged. These are codimension-2 defects living at the end of topological defects for certain non-invertible global symmetries. We determine the operator spectrum of the twist defect by solving classical electromagnetic wave equations subject to a twisted boundary condition. Using techniques from defect CFT, we show that correlation functions of these defect operators factorize into two sectors: a universal generalized free-field sector, and a chiral current sector analogous to edge modes in Chern-Simons theory. In a similar setup, we also revisit the twist fields attached to non-invertible line defects in the 2d compact boson CFT. We discuss a defect 't Hooft anomaly involving a chiral $O(2)$ symmetry, highlighting its dynamical implications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_21279 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Where Non-Invertible Symmetries End: Twist Defects for Electromagnetic Duality Shao, Shu-Heng Zhong, Siwei High Energy Physics - Theory Strongly Correlated Electrons We study novel conformal twist defects in 4d Maxwell theory, around which electric and magnetic fields are exchanged. These are codimension-2 defects living at the end of topological defects for certain non-invertible global symmetries. We determine the operator spectrum of the twist defect by solving classical electromagnetic wave equations subject to a twisted boundary condition. Using techniques from defect CFT, we show that correlation functions of these defect operators factorize into two sectors: a universal generalized free-field sector, and a chiral current sector analogous to edge modes in Chern-Simons theory. In a similar setup, we also revisit the twist fields attached to non-invertible line defects in the 2d compact boson CFT. We discuss a defect 't Hooft anomaly involving a chiral $O(2)$ symmetry, highlighting its dynamical implications. |
| title | Where Non-Invertible Symmetries End: Twist Defects for Electromagnetic Duality |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2509.21279 |