N $$ \mathcal{N} $$ = 5 SCFTs and quaternionic reflection groups
Abstract It was previously noted that for 3d SCFTs with N $$ \mathcal{N} $$ ≥ 6 the moduli space has the form of ℂ4r /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 N $$ \ma...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2024)017 |
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| Summary: | Abstract It was previously noted that for 3d SCFTs with N $$ \mathcal{N} $$ ≥ 6 the moduli space has the form of ℂ4r /Γ, where Γ is a complex reflection group, at least following suitable gauging of finite symmetries. Here we argue that this observation can be extended also to 3d SCFTs with N $$ \mathcal{N} $$ ≥ 5 SUSY, where Γ is now a quaternionic reflection group. To do this, we study the moduli space of the known 3d N $$ \mathcal{N} $$ = 5 SCFTs. For Lagrangian cases, the results for the moduli space are further checked using the superconformal index. |
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| ISSN: | 1029-8479 |