(−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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2025)134 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |