$\mathcal{N}=5$ SCFTs and quaternionic reflection groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916230356533248 |
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| author | Deb, Anirudh Zafrir, Gabi |
| author_facet | Deb, Anirudh Zafrir, Gabi |
| contents | It was previously noted that for 3d SCFTs with $\mathcal{N}\geq 6$ the moduli space has the form of $\mathbb{C}^{4r}/Γ$, where $Γ$ is a complex reflection group, at least following suitable gauging of finite symmetries. Here we argue that this observation can be extended also to 3d SCFTs with $\mathcal{N}\geq 5$ SUSY, where $Γ$ is now a quaternionic reflection group. To do this, we study the moduli space of the known 3d $\mathcal{N}=5$ SCFTs. For Lagrangian cases, the results for the moduli space are further checked using the superconformal index. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03971 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $\mathcal{N}=5$ SCFTs and quaternionic reflection groups Deb, Anirudh Zafrir, Gabi High Energy Physics - Theory It was previously noted that for 3d SCFTs with $\mathcal{N}\geq 6$ the moduli space has the form of $\mathbb{C}^{4r}/Γ$, where $Γ$ is a complex reflection group, at least following suitable gauging of finite symmetries. Here we argue that this observation can be extended also to 3d SCFTs with $\mathcal{N}\geq 5$ SUSY, where $Γ$ is now a quaternionic reflection group. To do this, we study the moduli space of the known 3d $\mathcal{N}=5$ SCFTs. For Lagrangian cases, the results for the moduli space are further checked using the superconformal index. |
| title | $\mathcal{N}=5$ SCFTs and quaternionic reflection groups |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.03971 |