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Geometric classification of 4d N = 2 $$ \mathcal{N}=2 $$ SCFTs
2018
Journal of High Energy Physics
The classification of 4d N=2 SCFTs boils down to the classification of conical special geometries with closed Reeb orbits (CSG). Under mild assumptions, one shows that the underlying complex space of a CSG is (birational to) an affine cone over a simply-connected Q-factorial log-Fano variety with Hodge numbers h^p,q=δ_p,q. With some plausible restrictions, this means that the Coulomb branch chiral ring R is a graded polynomial ring generated by global holomorphic functions u_i of dimension Δ_i.
doi:10.1007/jhep07(2018)138
fatcat:2quy4tbwirhh5hcqpktn7qljii