Confinement of 3d $\mathcal{N}=2$ Gauge Theories from M-theory on CY4
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915412103397376 |
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| author | Najjar, Marwan Wang, Yi-Nan |
| author_facet | Najjar, Marwan Wang, Yi-Nan |
| contents | In this work, we present a new geometric transition in non-compact Calabi-Yau 4-folds, specifically for the cone over the 7d Sasaki-Einstein manifold $Q^{\scriptscriptstyle(1,1,1)}/\mathbb{Z}_{N}$. We discover a new smoothing of such Calabi-Yau 4-fold singularity via a partial resolution+deformation, which can be interpreted as a confined phase for a 3d $\mathcal{N}=2$ $SU(N)$ gauge theory. The confining strings are realized as M2-branes wrapping the torsional 1-cycles in this new geometric phase. We have also computed the generalized global symmetries, including finite $(-1)$-form symmetries, and SymTFT action using the link topology and intersection numbers of the resolved Calabi-Yau 4-fold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07116 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Confinement of 3d $\mathcal{N}=2$ Gauge Theories from M-theory on CY4 Najjar, Marwan Wang, Yi-Nan High Energy Physics - Theory In this work, we present a new geometric transition in non-compact Calabi-Yau 4-folds, specifically for the cone over the 7d Sasaki-Einstein manifold $Q^{\scriptscriptstyle(1,1,1)}/\mathbb{Z}_{N}$. We discover a new smoothing of such Calabi-Yau 4-fold singularity via a partial resolution+deformation, which can be interpreted as a confined phase for a 3d $\mathcal{N}=2$ $SU(N)$ gauge theory. The confining strings are realized as M2-branes wrapping the torsional 1-cycles in this new geometric phase. We have also computed the generalized global symmetries, including finite $(-1)$-form symmetries, and SymTFT action using the link topology and intersection numbers of the resolved Calabi-Yau 4-fold. |
| title | Confinement of 3d $\mathcal{N}=2$ Gauge Theories from M-theory on CY4 |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.07116 |