Symmetry fractionalization and duality defects in Maxwell theory
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915002182533120 |
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| author | Kan, Naoto Kawabata, Kohki Wada, Hiroki |
| author_facet | Kan, Naoto Kawabata, Kohki Wada, Hiroki |
| contents | We consider Maxwell theory on a non-spin manifold. Depending on the choice of statistics for line operators, there are three non-anomalous theories and one anomalous theory with different symmetry fractionalizations. We establish the gauging maps that connect the non-anomalous theories by coupling them to a discrete gauge theory. We also construct topological interfaces associated with $\mathrm{SL}(2,\mathbb{Z})$ duality and gauging of electric and magnetic one-form symmetries. Finally, by stacking the topological interfaces, we compose various kinds of duality defects, which lead to non-invertible symmetries of non-spin Maxwell theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14481 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symmetry fractionalization and duality defects in Maxwell theory Kan, Naoto Kawabata, Kohki Wada, Hiroki High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics We consider Maxwell theory on a non-spin manifold. Depending on the choice of statistics for line operators, there are three non-anomalous theories and one anomalous theory with different symmetry fractionalizations. We establish the gauging maps that connect the non-anomalous theories by coupling them to a discrete gauge theory. We also construct topological interfaces associated with $\mathrm{SL}(2,\mathbb{Z})$ duality and gauging of electric and magnetic one-form symmetries. Finally, by stacking the topological interfaces, we compose various kinds of duality defects, which lead to non-invertible symmetries of non-spin Maxwell theories. |
| title | Symmetry fractionalization and duality defects in Maxwell theory |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics |
| url | https://arxiv.org/abs/2404.14481 |