SL 2(ℝ) symmetries of SymTFT and non-invertible U(1) symmetries of Maxwell theory
Abstract Recent proposals for the Symmetry Topological Filed Theory (SymTFT) of Maxwell theory admit a 0-form symmetry compatible with the classical SL 2(ℝ) duality of electromagnetism. We describe how to realize these automorphisms of the SymTFT in terms of its operators and we describe their effec...
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2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)131 |
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| author | Azeem Hasan Shani Meynet Daniele Migliorati |
| author_facet | Azeem Hasan Shani Meynet Daniele Migliorati |
| author_sort | Azeem Hasan |
| collection | DOAJ |
| description | Abstract Recent proposals for the Symmetry Topological Filed Theory (SymTFT) of Maxwell theory admit a 0-form symmetry compatible with the classical SL 2(ℝ) duality of electromagnetism. We describe how to realize these automorphisms of the SymTFT in terms of its operators and we describe their effects on the dynamical theory and its global variants. In the process, we show that the classical U(1) symmetry, corresponding to the stabilizer of SL 2(ℝ), can be restored as a non-invertible one, by means of an infinite series of discrete gauging. This provide an example of the reemergence of a classical symmetry in the quantum regime, which was not broken by anomalies, but rather by the quantization of electromagnetic fluxes. However, this procedure comes at the price of introducing “continuous” condensates that trivialize all line operators. |
| format | Article |
| id | doaj-art-99f6ed58ab6e44b2be7cd467d092d14b |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-99f6ed58ab6e44b2be7cd467d092d14b2025-01-05T12:06:34ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241212110.1007/JHEP12(2024)131SL 2(ℝ) symmetries of SymTFT and non-invertible U(1) symmetries of Maxwell theoryAzeem Hasan0Shani Meynet1Daniele Migliorati2Department of Mathematics, Uppsala UniversityDepartment of Mathematics, Uppsala UniversityDepartment of Mathematics, Uppsala UniversityAbstract Recent proposals for the Symmetry Topological Filed Theory (SymTFT) of Maxwell theory admit a 0-form symmetry compatible with the classical SL 2(ℝ) duality of electromagnetism. We describe how to realize these automorphisms of the SymTFT in terms of its operators and we describe their effects on the dynamical theory and its global variants. In the process, we show that the classical U(1) symmetry, corresponding to the stabilizer of SL 2(ℝ), can be restored as a non-invertible one, by means of an infinite series of discrete gauging. This provide an example of the reemergence of a classical symmetry in the quantum regime, which was not broken by anomalies, but rather by the quantization of electromagnetic fluxes. However, this procedure comes at the price of introducing “continuous” condensates that trivialize all line operators.https://doi.org/10.1007/JHEP12(2024)131Duality in Gauge Field TheoriesGlobal SymmetriesGauge SymmetryTopological Field Theories |
| spellingShingle | Azeem Hasan Shani Meynet Daniele Migliorati SL 2(ℝ) symmetries of SymTFT and non-invertible U(1) symmetries of Maxwell theory Journal of High Energy Physics Duality in Gauge Field Theories Global Symmetries Gauge Symmetry Topological Field Theories |
| title | SL 2(ℝ) symmetries of SymTFT and non-invertible U(1) symmetries of Maxwell theory |
| title_full | SL 2(ℝ) symmetries of SymTFT and non-invertible U(1) symmetries of Maxwell theory |
| title_fullStr | SL 2(ℝ) symmetries of SymTFT and non-invertible U(1) symmetries of Maxwell theory |
| title_full_unstemmed | SL 2(ℝ) symmetries of SymTFT and non-invertible U(1) symmetries of Maxwell theory |
| title_short | SL 2(ℝ) symmetries of SymTFT and non-invertible U(1) symmetries of Maxwell theory |
| title_sort | sl 2 r symmetries of symtft and non invertible u 1 symmetries of maxwell theory |
| topic | Duality in Gauge Field Theories Global Symmetries Gauge Symmetry Topological Field Theories |
| url | https://doi.org/10.1007/JHEP12(2024)131 |
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