Abstract
It was previously noted that for 3d SCFTs with \( \mathcal{N} \) ≥ 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 \( \mathcal{N} \) ≥ 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.
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Acknowledgments
We would like to thank Oren Bergman, Yichul Choi, Mykola Dedushenko, Leonardo Rastelli, Matteo Sacchi, Yaman Sanghavi and Yuji Tachikawa for helpful comments and discussions. GZ is partially supported by the Simons Foundation grant 815892 and by the Israel Science Foundation under grant no. 759/23. AD is supported in part by NSF grant PHY-2210533, and the Simons Foundation grants 397411 (Simons Collaboration on the Nonperturbative Bootstrap) and 681267 (Simons Investigator Award).
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Deb, A., Zafrir, G. \( \mathcal{N} \) = 5 SCFTs and quaternionic reflection groups. J. High Energ. Phys. 2024, 17 (2024). https://doi.org/10.1007/JHEP08(2024)017
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DOI: https://doi.org/10.1007/JHEP08(2024)017