Non-invertible SO(2) symmetry of 4d Maxwell from continuous gaugings
Abstract We describe the self-duality symmetries for 4d Maxwell theory at any value of the coupling τ via topological manipulations that include gauging continuous symmetries with flat connections. Moreover, we demonstrate that the SL(2, ℤ) duality of Maxwell can be realized by trivial gauging opera...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)014 |
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| author | Elise Paznokas |
| author_facet | Elise Paznokas |
| author_sort | Elise Paznokas |
| collection | DOAJ |
| description | Abstract We describe the self-duality symmetries for 4d Maxwell theory at any value of the coupling τ via topological manipulations that include gauging continuous symmetries with flat connections. Moreover, we demonstrate that the SL(2, ℤ) duality of Maxwell can be realized by trivial gauging operations. Using a non-compact symmetry topological field theory (symTFT) to encode continuous global symmetries of the boundary theory, we reproduce the symTFT for Maxwell and find within this framework condensation defects that implement the non-invertible SO(2) self-duality symmetry. These defects are systematically constructed by higher gauging subsets of the bulk ℝ × ℝ symmetry with appropriate discrete torsion. |
| format | Article |
| id | doaj-art-3f55c4cdd2904647a4e8b5e985480bc2 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-3f55c4cdd2904647a4e8b5e985480bc22025-08-20T03:42:34ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025612610.1007/JHEP06(2025)014Non-invertible SO(2) symmetry of 4d Maxwell from continuous gaugingsElise Paznokas0Physique Théorique et Mathématique and International Solvay Institutes, Université Libre de BruxellesAbstract We describe the self-duality symmetries for 4d Maxwell theory at any value of the coupling τ via topological manipulations that include gauging continuous symmetries with flat connections. Moreover, we demonstrate that the SL(2, ℤ) duality of Maxwell can be realized by trivial gauging operations. Using a non-compact symmetry topological field theory (symTFT) to encode continuous global symmetries of the boundary theory, we reproduce the symTFT for Maxwell and find within this framework condensation defects that implement the non-invertible SO(2) self-duality symmetry. These defects are systematically constructed by higher gauging subsets of the bulk ℝ × ℝ symmetry with appropriate discrete torsion.https://doi.org/10.1007/JHEP06(2025)014Duality in Gauge Field TheoriesGlobal SymmetriesTopological Field Theories |
| spellingShingle | Elise Paznokas Non-invertible SO(2) symmetry of 4d Maxwell from continuous gaugings Journal of High Energy Physics Duality in Gauge Field Theories Global Symmetries Topological Field Theories |
| title | Non-invertible SO(2) symmetry of 4d Maxwell from continuous gaugings |
| title_full | Non-invertible SO(2) symmetry of 4d Maxwell from continuous gaugings |
| title_fullStr | Non-invertible SO(2) symmetry of 4d Maxwell from continuous gaugings |
| title_full_unstemmed | Non-invertible SO(2) symmetry of 4d Maxwell from continuous gaugings |
| title_short | Non-invertible SO(2) symmetry of 4d Maxwell from continuous gaugings |
| title_sort | non invertible so 2 symmetry of 4d maxwell from continuous gaugings |
| topic | Duality in Gauge Field Theories Global Symmetries Topological Field Theories |
| url | https://doi.org/10.1007/JHEP06(2025)014 |
| work_keys_str_mv | AT elisepaznokas noninvertibleso2symmetryof4dmaxwellfromcontinuousgaugings |