Anomaly of Continuous Symmetries from Topological Defect Network
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915685273174016 |
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| author | Jia, Qiang Luo, Ran Tian, Jiahua Wang, Yi-Nan Zhang, Yi |
| author_facet | Jia, Qiang Luo, Ran Tian, Jiahua Wang, Yi-Nan Zhang, Yi |
| contents | We show that the 't Hooft anomaly of a quantum field theory with continuous flavor symmetry can be detected from rearrangements of the topological defect webs implementing the global symmetry in general spacetime dimension, which is concretized in 2D by the F-moves of the defect lines. Via dualizing the defects to flat background gauge field configurations, we characterize the 't Hooft anomaly by various cohomological data of the symmetry group, where the cohomology of Lie groups with discrete topology plays the central role. We find that an extra dimension emerges naturally as a consequence of the mathematical description of the 't Hooft anomaly in the case of flat gauging. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_14722 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anomaly of Continuous Symmetries from Topological Defect Network Jia, Qiang Luo, Ran Tian, Jiahua Wang, Yi-Nan Zhang, Yi High Energy Physics - Theory We show that the 't Hooft anomaly of a quantum field theory with continuous flavor symmetry can be detected from rearrangements of the topological defect webs implementing the global symmetry in general spacetime dimension, which is concretized in 2D by the F-moves of the defect lines. Via dualizing the defects to flat background gauge field configurations, we characterize the 't Hooft anomaly by various cohomological data of the symmetry group, where the cohomology of Lie groups with discrete topology plays the central role. We find that an extra dimension emerges naturally as a consequence of the mathematical description of the 't Hooft anomaly in the case of flat gauging. |
| title | Anomaly of Continuous Symmetries from Topological Defect Network |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.14722 |