1-form symmetries of 4d N=2 class S theories
We determine the 1-form symmetry group for any 4d N = 2 class S theory constructed by compactifying a 6d 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. Comp...
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| Format: | Article |
| Language: | English |
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SciPost
2021-11-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.11.5.096 |
| _version_ | 1818567341454131200 |
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| author | Lakshya Bhardwaj, Max Hübner, Sakura Schafer-Nameki |
| author_facet | Lakshya Bhardwaj, Max Hübner, Sakura Schafer-Nameki |
| author_sort | Lakshya Bhardwaj, Max Hübner, Sakura Schafer-Nameki |
| collection | DOAJ |
| description | We determine the 1-form symmetry group for any 4d N = 2 class S theory
constructed by compactifying a 6d 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 | 2024-12-14T06:22:09Z |
| format | Article |
| id | doaj.art-c8a2d697456540a68086945af7ffa053 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-14T06:22:09Z |
| publishDate | 2021-11-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-c8a2d697456540a68086945af7ffa0532022-12-21T23:13:47ZengSciPostSciPost Physics2542-46532021-11-0111509610.21468/SciPostPhys.11.5.0961-form symmetries of 4d N=2 class S theoriesLakshya Bhardwaj, Max Hübner, Sakura Schafer-NamekiWe determine the 1-form symmetry group for any 4d N = 2 class S theory constructed by compactifying a 6d 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.https://scipost.org/SciPostPhys.11.5.096 |
| spellingShingle | Lakshya Bhardwaj, Max Hübner, Sakura Schafer-Nameki 1-form symmetries of 4d N=2 class S theories SciPost Physics |
| 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 |
| url | https://scipost.org/SciPostPhys.11.5.096 |
| work_keys_str_mv | AT lakshyabhardwajmaxhubnersakuraschafernameki 1formsymmetriesof4dn2classstheories |