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Expanding the landscape of N $$ \mathcal{N} $$ = 2 rank 1 SCFTs

2016; Springer Nature; Volume: 2016; Issue: 5 Linguagem: Inglês

10.1007/jhep05(2016)088

1127-2236

Philip C. Argyres, Matteo Lotito, Yongchao Lü, Mario Martone,

Physics of Superconductivity and Magnetism

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.