Abstract
We refine our previous proposal [1-3] for systematically classifying 4d rank-1 \( \mathcal{N} \) = 2 SCFTs by constructing their possible Coulomb branch geometries. Four new recently discussed rank-1 theories [4, 5], including novel \( \mathcal{N} \) = 3 SCFTs, sit beautifully in our refined classification framework. By arguing for the consistency of their RG flows we can make a strong case for the existence of at least four additional rank-1 SCFTs, nearly doubling the number of known rank-1 SCFTs.
The refinement consists of relaxing the assumption that the flavor symmetries of the SCFTs have no discrete factors. This results in an enlarged (but finite) set of possible rank-1 SCFTs. Their existence can be further constrained using consistency of their central charges and RG flows.
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Argyres, P.C., Lotito, M., Lü, Y. et al. Expanding the landscape of \( \mathcal{N} \) = 2 rank 1 SCFTs. J. High Energ. Phys. 2016, 88 (2016). https://doi.org/10.1007/JHEP05(2016)088
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DOI: https://doi.org/10.1007/JHEP05(2016)088