1-form symmetries of 4d N=2 class S theories
We determine the 1-form symmetry group for any 4d $\mathcal{N}$ = 2 class S theory constructed by compactifying a 6d $\mathcal{N}$ =(2,0) SCFT on a Riemann surface with arbitrary regular untwisted and twisted punctures. The 6d theory has a group of mutually non-local dimension-2 surface operators, m...
| Prif Awduron: | , , |
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| Fformat: | Journal article |
| Iaith: | English |
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SciPost
2021
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| _version_ | 1826270588676603904 |
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| author | Bhardwaj, L Hübner, M Schafer-Nameki, S |
| author_facet | Bhardwaj, L Hübner, M Schafer-Nameki, S |
| author_sort | Bhardwaj, L |
| collection | OXFORD |
| description | We determine the 1-form symmetry group for any 4d $\mathcal{N}$ = 2 class S theory constructed by compactifying a 6d $\mathcal{N}$ =(2,0) SCFT on a Riemann surface with arbitrary regular untwisted and twisted punctures. The 6d theory has a group of mutually non-local dimension-2 surface operators, modulo screening. Compactifying these surface operators leads to a group of mutually non-local line operators in 4d, modulo screening and flavor charges. Complete specification of a 4d theory arising from such a compactification requires a choice of a maximal subgroup of mutually local line operators, and the 1-form symmetry group of the chosen 4d theory is identified as the Pontryagin dual of this maximal subgroup. We also comment on how to generalize our results to compactifications involving irregular punctures. Finally, to complement the analysis from 6d, we derive the 1-form symmetry from a Type IIB realization of class S theories. |
| first_indexed | 2024-03-06T21:43:12Z |
| format | Journal article |
| id | oxford-uuid:48a7a96e-655a-413d-a3da-697b2115e8ee |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:43:12Z |
| publishDate | 2021 |
| publisher | SciPost |
| record_format | dspace |
| spelling | oxford-uuid:48a7a96e-655a-413d-a3da-697b2115e8ee2022-03-26T15:27:02Z1-form symmetries of 4d N=2 class S theoriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:48a7a96e-655a-413d-a3da-697b2115e8eeEnglishSymplectic ElementsSciPost2021Bhardwaj, LHübner, MSchafer-Nameki, SWe determine the 1-form symmetry group for any 4d $\mathcal{N}$ = 2 class S theory constructed by compactifying a 6d $\mathcal{N}$ =(2,0) SCFT on a Riemann surface with arbitrary regular untwisted and twisted punctures. The 6d theory has a group of mutually non-local dimension-2 surface operators, modulo screening. Compactifying these surface operators leads to a group of mutually non-local line operators in 4d, modulo screening and flavor charges. Complete specification of a 4d theory arising from such a compactification requires a choice of a maximal subgroup of mutually local line operators, and the 1-form symmetry group of the chosen 4d theory is identified as the Pontryagin dual of this maximal subgroup. We also comment on how to generalize our results to compactifications involving irregular punctures. Finally, to complement the analysis from 6d, we derive the 1-form symmetry from a Type IIB realization of class S theories. |
| spellingShingle | Bhardwaj, L Hübner, M Schafer-Nameki, S 1-form symmetries of 4d N=2 class S theories |
| title | 1-form symmetries of 4d N=2 class S theories |
| title_full | 1-form symmetries of 4d N=2 class S theories |
| title_fullStr | 1-form symmetries of 4d N=2 class S theories |
| title_full_unstemmed | 1-form symmetries of 4d N=2 class S theories |
| title_short | 1-form symmetries of 4d N=2 class S theories |
| title_sort | 1 form symmetries of 4d n 2 class s theories |
| work_keys_str_mv | AT bhardwajl 1formsymmetriesof4dn2classstheories AT hubnerm 1formsymmetriesof4dn2classstheories AT schafernamekis 1formsymmetriesof4dn2classstheories |