Higher form symmetries, membranes and flux quantization
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866908312677646336 |
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| author | Caro-Perez, F. del Moral, M. P. Garcia Restuccia, A. |
| author_facet | Caro-Perez, F. del Moral, M. P. Garcia Restuccia, A. |
| contents | Higher Forms Symmetries (HFS) of a closed bosonic M2-brane theory formulated on a compactified target space $\mathcal{M}_9 \times T^2$ are obtained. We show that the cancellation of the 't Hooft anomaly present in the theory is related to a 3-form flux with $\mathcal{G}_1^{\nabla}$-gerbe structure associated to the world-volume flux quantization condition. A Wilson surface is naturally introduced on the topological operator that characterize the holonomy of the M2-brane. The projection of the flux quantization condition inherited from the gerbe structure onto the spatial part of the worldvolume, leads to a flux quantization on the M2-brane. The topological operators realise discrete symmetries associated with the winding and the flux/monopole condition. The algebra of operators is well defined. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14051 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher form symmetries, membranes and flux quantization Caro-Perez, F. del Moral, M. P. Garcia Restuccia, A. High Energy Physics - Theory Mathematical Physics Higher Forms Symmetries (HFS) of a closed bosonic M2-brane theory formulated on a compactified target space $\mathcal{M}_9 \times T^2$ are obtained. We show that the cancellation of the 't Hooft anomaly present in the theory is related to a 3-form flux with $\mathcal{G}_1^{\nabla}$-gerbe structure associated to the world-volume flux quantization condition. A Wilson surface is naturally introduced on the topological operator that characterize the holonomy of the M2-brane. The projection of the flux quantization condition inherited from the gerbe structure onto the spatial part of the worldvolume, leads to a flux quantization on the M2-brane. The topological operators realise discrete symmetries associated with the winding and the flux/monopole condition. The algebra of operators is well defined. |
| title | Higher form symmetries, membranes and flux quantization |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2410.14051 |