Abstract
In this paper, we explore the zoo of 5d superconformal field theories (SCFTs) constructed from M-theory on Isolated Complete Intersection Singularities (ICIS). We systematically investigate the crepant resolution of such singularities, and obtain a classification of rank ⩽ 10 models with a smooth crepant resolution and smooth exceptional divisors, as well as a number of infinite sequences with the same smoothness properties. For these models, we study their Coulomb branch properties and compute the flavor symmetry algebra from the resolved CY3 and/or the magnetic quiver. We check the validity of the conjectures relating the properties of the 5d SCFT and the 4d \( \mathcal{N} \) = 2 SCFT from IIB superstring on the same singularity. When the 4d \( \mathcal{N} \) = 2 SCFT has a Lagrangian quiver gauge theory description, one can obtain the magnetic quiver of the 5d theory by gauging flavor symmetry, which encodes the 5d Higgs branch information. Regarding the smoothness of the crepant resolution and integrality of 4d Coulomb branch spectrum, we find examples with a smooth resolved CY3 and smooth exceptional divisors, but fractional 4d Coulomb branch spectrum. Moreover, we compute the discrete (higher)-symmetries of the 5d/4d SCFTs from the link topology for a few examples.
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Acknowledgments
We thank Cyril Closset, Amihay Hanany, Chunhao Li, Deshuo Liu, Sakura Schafer-Nameki, Marcus Sperling, Dan Xie, Wenbin Yan for discussions. The work is supported by National Natural Science Foundation of China under Grant No. 12175004, by Peking University under startup Grant No. 7100603667 and by Young Elite Scientists Sponsorship Program by CAST (2022QNRC001, 2023QNRC001).
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Mu, J., Wang, YN. & Zhang, H.N. 5d SCFTs from isolated complete intersection singularities. J. High Energ. Phys. 2024, 155 (2024). https://doi.org/10.1007/JHEP02(2024)155
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DOI: https://doi.org/10.1007/JHEP02(2024)155