Nontrivial bundles and defect operators in n-form gauge theories
Abstract In (d + 1)-dimensional 1-form nonabelian gauge theories, we classify nontrivial 0-form bundles in ℝ d , which yield configurations of D(d − 2j)-branes wrapping (d − 2j)-cycles c d−2j in Dd-branes. We construct the related defect operators U (2j−1)(c d−2j ), which are disorder operators carr...
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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)171 |
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| author | Shan Hu |
| author_facet | Shan Hu |
| author_sort | Shan Hu |
| collection | DOAJ |
| description | Abstract In (d + 1)-dimensional 1-form nonabelian gauge theories, we classify nontrivial 0-form bundles in ℝ d , which yield configurations of D(d − 2j)-branes wrapping (d − 2j)-cycles c d−2j in Dd-branes. We construct the related defect operators U (2j−1)(c d−2j ), which are disorder operators carrying the D(d – 2j) charge. We compute the commutation relations between the defect operators and Chern-Simons operators on odd-dimensional closed manifolds, and derive the generalized Witten effect for U (2j−1)(c d−2j ). When c d−2j is not exact, U (2j−1)(c d−2j ) and U (2j−1)(– c d−2j ) can also combine into an electric (2j – 1)-form global symmetry operator, where the (2j – 1)-form is the Chern-Simons form. The dual magnetic (d – 2j)-form global symmetry is generated by the D(d – 2j) charge. We also study nontrivial 1-form bundles in (d + 1)-dimensional 2-form nonabelian gauge theories, where the defect operators are U 2 j c d − 2 j − 1 $$ {\mathcal{U}}^{(2j)}\left({c}_{d-2j-1}\right) $$ . With the field strength of the 1-form taken as the flat connection of the 2-form, we classify the topological sectors in 2-form theories. |
| format | Article |
| id | doaj-art-c8d267cc5dc443a9951dff149e1fbddc |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-c8d267cc5dc443a9951dff149e1fbddc2025-08-20T02:46:06ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241214310.1007/JHEP12(2024)171Nontrivial bundles and defect operators in n-form gauge theoriesShan Hu0Department of Physics, Hubei UniversityAbstract In (d + 1)-dimensional 1-form nonabelian gauge theories, we classify nontrivial 0-form bundles in ℝ d , which yield configurations of D(d − 2j)-branes wrapping (d − 2j)-cycles c d−2j in Dd-branes. We construct the related defect operators U (2j−1)(c d−2j ), which are disorder operators carrying the D(d – 2j) charge. We compute the commutation relations between the defect operators and Chern-Simons operators on odd-dimensional closed manifolds, and derive the generalized Witten effect for U (2j−1)(c d−2j ). When c d−2j is not exact, U (2j−1)(c d−2j ) and U (2j−1)(– c d−2j ) can also combine into an electric (2j – 1)-form global symmetry operator, where the (2j – 1)-form is the Chern-Simons form. The dual magnetic (d – 2j)-form global symmetry is generated by the D(d – 2j) charge. We also study nontrivial 1-form bundles in (d + 1)-dimensional 2-form nonabelian gauge theories, where the defect operators are U 2 j c d − 2 j − 1 $$ {\mathcal{U}}^{(2j)}\left({c}_{d-2j-1}\right) $$ . With the field strength of the 1-form taken as the flat connection of the 2-form, we classify the topological sectors in 2-form theories.https://doi.org/10.1007/JHEP12(2024)171Gauge SymmetryGlobal SymmetriesSolitons Monopoles and InstantonsWilson’t Hooft and Polyakov loops |
| spellingShingle | Shan Hu Nontrivial bundles and defect operators in n-form gauge theories Journal of High Energy Physics Gauge Symmetry Global Symmetries Solitons Monopoles and Instantons Wilson ’t Hooft and Polyakov loops |
| title | Nontrivial bundles and defect operators in n-form gauge theories |
| title_full | Nontrivial bundles and defect operators in n-form gauge theories |
| title_fullStr | Nontrivial bundles and defect operators in n-form gauge theories |
| title_full_unstemmed | Nontrivial bundles and defect operators in n-form gauge theories |
| title_short | Nontrivial bundles and defect operators in n-form gauge theories |
| title_sort | nontrivial bundles and defect operators in n form gauge theories |
| topic | Gauge Symmetry Global Symmetries Solitons Monopoles and Instantons Wilson ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP12(2024)171 |
| work_keys_str_mv | AT shanhu nontrivialbundlesanddefectoperatorsinnformgaugetheories |