(−1)-form symmetries from M-theory and SymTFTs
Abstract We explore (−1)-form symmetries within the framework of geometric engineering in M-theory. By constructing the Symmetry Topological Field Theory (SymTFT) for selected 5d N $$ \mathcal{N} $$ = 1, 4d N $$ \mathcal{N} $$ = 2 and 4d N $$ \mathcal{N} $$ = 1 theories, we formalize the geometric o...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)134 |
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| author | Marwan Najjar Leonardo Santilli Yi-Nan Wang |
| author_facet | Marwan Najjar Leonardo Santilli Yi-Nan Wang |
| author_sort | Marwan Najjar |
| collection | DOAJ |
| description | Abstract We explore (−1)-form symmetries within the framework of geometric engineering in M-theory. By constructing the Symmetry Topological Field Theory (SymTFT) for selected 5d N $$ \mathcal{N} $$ = 1, 4d N $$ \mathcal{N} $$ = 2 and 4d N $$ \mathcal{N} $$ = 1 theories, we formalize the geometric origin of these symmetries and compute the mixed anomaly polynomials involving (−1)-form and higher- form symmetries. Our findings consistently reveal both discrete and continuous (−1)-form symmetries, aligning with established field theory results, while also uncovering new (−1)-form symmetry factors and structural insights. In particular, we study the SymTFT of 4d N $$ \mathcal{N} $$ = 1 theories from M-theory on a class of spaces with G 2 holonomy, and obtain properties such as modified instanton sums and 4-group structures observed in other 4d gauge theories. Additionally, we systematically construct symmetry operators for continuous abelian symmetries, refining existing proposals, and providing an M-theory origin for them. |
| format | Article |
| id | doaj-art-449cda59c6584bf99b132c087001d6ab |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-449cda59c6584bf99b132c087001d6ab2025-08-20T03:10:09ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025319510.1007/JHEP03(2025)134(−1)-form symmetries from M-theory and SymTFTsMarwan Najjar0Leonardo Santilli1Yi-Nan Wang2Center for High Energy Physics, Peking UniversityYau Mathematical Sciences Center, Tsinghua UniversityCenter for High Energy Physics, Peking UniversityAbstract We explore (−1)-form symmetries within the framework of geometric engineering in M-theory. By constructing the Symmetry Topological Field Theory (SymTFT) for selected 5d N $$ \mathcal{N} $$ = 1, 4d N $$ \mathcal{N} $$ = 2 and 4d N $$ \mathcal{N} $$ = 1 theories, we formalize the geometric origin of these symmetries and compute the mixed anomaly polynomials involving (−1)-form and higher- form symmetries. Our findings consistently reveal both discrete and continuous (−1)-form symmetries, aligning with established field theory results, while also uncovering new (−1)-form symmetry factors and structural insights. In particular, we study the SymTFT of 4d N $$ \mathcal{N} $$ = 1 theories from M-theory on a class of spaces with G 2 holonomy, and obtain properties such as modified instanton sums and 4-group structures observed in other 4d gauge theories. Additionally, we systematically construct symmetry operators for continuous abelian symmetries, refining existing proposals, and providing an M-theory origin for them.https://doi.org/10.1007/JHEP03(2025)134Global SymmetriesM-TheorySupersymmetric Gauge TheoryAnomalies in Field and String Theories |
| spellingShingle | Marwan Najjar Leonardo Santilli Yi-Nan Wang (−1)-form symmetries from M-theory and SymTFTs Journal of High Energy Physics Global Symmetries M-Theory Supersymmetric Gauge Theory Anomalies in Field and String Theories |
| title | (−1)-form symmetries from M-theory and SymTFTs |
| title_full | (−1)-form symmetries from M-theory and SymTFTs |
| title_fullStr | (−1)-form symmetries from M-theory and SymTFTs |
| title_full_unstemmed | (−1)-form symmetries from M-theory and SymTFTs |
| title_short | (−1)-form symmetries from M-theory and SymTFTs |
| title_sort | 1 form symmetries from m theory and symtfts |
| topic | Global Symmetries M-Theory Supersymmetric Gauge Theory Anomalies in Field and String Theories |
| url | https://doi.org/10.1007/JHEP03(2025)134 |
| work_keys_str_mv | AT marwannajjar 1formsymmetriesfrommtheoryandsymtfts AT leonardosantilli 1formsymmetriesfrommtheoryandsymtfts AT yinanwang 1formsymmetriesfrommtheoryandsymtfts |