Fermionic higher-form symmetries
In this paper, we explore a new type of global symmetries - the fermionic higher-form symmetries. They are generated by topological operators with fermionic parameter, which act on fermionic extended objects. We present a set of field theory examples with fermionic higher-form symmetries, which are...
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| Format: | Article |
| Language: | English |
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SciPost
2023-10-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.15.4.142 |
| _version_ | 1797665182328029184 |
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| author | Yi-Nan Wang, Yi Zhang |
| author_facet | Yi-Nan Wang, Yi Zhang |
| author_sort | Yi-Nan Wang, Yi Zhang |
| collection | DOAJ |
| description | In this paper, we explore a new type of global symmetries - the fermionic higher-form symmetries. They are generated by topological operators with fermionic parameter, which act on fermionic extended objects. We present a set of field theory examples with fermionic higher-form symmetries, which are constructed from fermionic tensor fields. They include the free fermionic tensor theories, a new type of fermionic topological quantum field theories, as well as the exotic 6d (4,0) theory. We also discuss the gauging and breaking of such global symmetries and the relation to the no global symmetry swampland conjecture. |
| first_indexed | 2024-03-11T19:40:15Z |
| format | Article |
| id | doaj.art-1962d278b29a4f1489f0bab5a9aa3ab8 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-11T19:40:15Z |
| publishDate | 2023-10-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-1962d278b29a4f1489f0bab5a9aa3ab82023-10-06T10:45:17ZengSciPostSciPost Physics2542-46532023-10-0115414210.21468/SciPostPhys.15.4.142Fermionic higher-form symmetriesYi-Nan Wang, Yi ZhangIn this paper, we explore a new type of global symmetries - the fermionic higher-form symmetries. They are generated by topological operators with fermionic parameter, which act on fermionic extended objects. We present a set of field theory examples with fermionic higher-form symmetries, which are constructed from fermionic tensor fields. They include the free fermionic tensor theories, a new type of fermionic topological quantum field theories, as well as the exotic 6d (4,0) theory. We also discuss the gauging and breaking of such global symmetries and the relation to the no global symmetry swampland conjecture.https://scipost.org/SciPostPhys.15.4.142 |
| spellingShingle | Yi-Nan Wang, Yi Zhang Fermionic higher-form symmetries SciPost Physics |
| title | Fermionic higher-form symmetries |
| title_full | Fermionic higher-form symmetries |
| title_fullStr | Fermionic higher-form symmetries |
| title_full_unstemmed | Fermionic higher-form symmetries |
| title_short | Fermionic higher-form symmetries |
| title_sort | fermionic higher form symmetries |
| url | https://scipost.org/SciPostPhys.15.4.142 |
| work_keys_str_mv | AT yinanwangyizhang fermionichigherformsymmetries |