Classification of all $\mathcal{N}\geq 3$ moduli space orbifold geometries at rank 2

Philip C. Argyres, Antoine Bourget, Mario Martone

SciPost Phys. 9, 083 (2020) · published 7 December 2020


We classify orbifold geometries which can be interpreted as moduli spaces of four-dimensional $\mathcal{N}\geq 3$ superconformal field theories up to rank 2 (complex dimension 6). The large majority of the geometries we find correspond to moduli spaces of known theories or discretely gauged version of them. Remarkably, we find 6 geometries which are not realized by any known theory, of which 3 have an $\mathcal{N}=2$ Coulomb branch slice with a non-freely generated coordinate ring, suggesting the existence of new, exotic $\mathcal{N}=3$ theories.

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