Defect groups of class S $$ \mathcal{S} $$ theories from the Coulomb branch
Abstract We study the global forms of class S A N − 1 $$ \mathcal{S}\left[{A}_{N-1}\right] $$ 4d N $$ \mathcal{N} $$ = 2 theories by deriving their defect groups (charges of line operators up to screening by local operators) from Coulomb branch data. Specifically, we employ an explicit construction...
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)148 |
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| author | Elias Riedel Gårding |
| author_facet | Elias Riedel Gårding |
| author_sort | Elias Riedel Gårding |
| collection | DOAJ |
| description | Abstract We study the global forms of class S A N − 1 $$ \mathcal{S}\left[{A}_{N-1}\right] $$ 4d N $$ \mathcal{N} $$ = 2 theories by deriving their defect groups (charges of line operators up to screening by local operators) from Coulomb branch data. Specifically, we employ an explicit construction of the BPS quiver for the case of full regular punctures to show that the defect group is (ℤ N )2g , where g is the genus of the associated Riemann surface. This determines a sector of surface operators in the 5d symmetry TFT. We show how these can also be identified from dimensional reduction of M-theory. We discuss connections to the theory of cluster algebras. |
| format | Article |
| id | doaj-art-746dce7768d9467285ea5f26a2b9bc79 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-746dce7768d9467285ea5f26a2b9bc792025-02-09T12:06:50ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112110.1007/JHEP01(2025)148Defect groups of class S $$ \mathcal{S} $$ theories from the Coulomb branchElias Riedel Gårding0Department of Mathematics, Uppsala UniversityAbstract We study the global forms of class S A N − 1 $$ \mathcal{S}\left[{A}_{N-1}\right] $$ 4d N $$ \mathcal{N} $$ = 2 theories by deriving their defect groups (charges of line operators up to screening by local operators) from Coulomb branch data. Specifically, we employ an explicit construction of the BPS quiver for the case of full regular punctures to show that the defect group is (ℤ N )2g , where g is the genus of the associated Riemann surface. This determines a sector of surface operators in the 5d symmetry TFT. We show how these can also be identified from dimensional reduction of M-theory. We discuss connections to the theory of cluster algebras.https://doi.org/10.1007/JHEP01(2025)148Global SymmetriesTopological Field TheoriesM-TheoryWilson’t Hooft and Polyakov loops |
| spellingShingle | Elias Riedel Gårding Defect groups of class S $$ \mathcal{S} $$ theories from the Coulomb branch Journal of High Energy Physics Global Symmetries Topological Field Theories M-Theory Wilson ’t Hooft and Polyakov loops |
| title | Defect groups of class S $$ \mathcal{S} $$ theories from the Coulomb branch |
| title_full | Defect groups of class S $$ \mathcal{S} $$ theories from the Coulomb branch |
| title_fullStr | Defect groups of class S $$ \mathcal{S} $$ theories from the Coulomb branch |
| title_full_unstemmed | Defect groups of class S $$ \mathcal{S} $$ theories from the Coulomb branch |
| title_short | Defect groups of class S $$ \mathcal{S} $$ theories from the Coulomb branch |
| title_sort | defect groups of class s mathcal s theories from the coulomb branch |
| topic | Global Symmetries Topological Field Theories M-Theory Wilson ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP01(2025)148 |
| work_keys_str_mv | AT eliasriedelgarding defectgroupsofclasssmathcalstheoriesfromthecoulombbranch |