Classifying Isolated Symplectic Singularities via 3d $\mathcal{N}=4$ Coulomb Branches
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910905626787840 |
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| author | Bourget, Antoine Lamouret, Quentin Soysüren, Sinan Moura Sperling, Marcus |
| author_facet | Bourget, Antoine Lamouret, Quentin Soysüren, Sinan Moura Sperling, Marcus |
| contents | Based on the Decay and Fission Conjecture, we provide a classification of unitary quivers whose 3d $\mathcal{N}=4$ Coulomb branches exhibit isolated singularities. This yields the complete list of isolated conical symplectic singularities that can arise in this way. In the process, we identify three new families of stable quivers: two giving rise to previously unknown isolated symplectic singularities, and one offering a novel realization of a known family. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05373 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classifying Isolated Symplectic Singularities via 3d $\mathcal{N}=4$ Coulomb Branches Bourget, Antoine Lamouret, Quentin Soysüren, Sinan Moura Sperling, Marcus High Energy Physics - Theory Mathematical Physics Algebraic Geometry Based on the Decay and Fission Conjecture, we provide a classification of unitary quivers whose 3d $\mathcal{N}=4$ Coulomb branches exhibit isolated singularities. This yields the complete list of isolated conical symplectic singularities that can arise in this way. In the process, we identify three new families of stable quivers: two giving rise to previously unknown isolated symplectic singularities, and one offering a novel realization of a known family. |
| title | Classifying Isolated Symplectic Singularities via 3d $\mathcal{N}=4$ Coulomb Branches |
| topic | High Energy Physics - Theory Mathematical Physics Algebraic Geometry |
| url | https://arxiv.org/abs/2504.05373 |