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

### Submission summary

 As Contributors: Antoine Bourget Arxiv Link: https://arxiv.org/abs/1904.10969v1 Date submitted: 2020-01-21 Submitted by: Bourget, Antoine Submitted to: SciPost Physics Discipline: Physics Subject area: High-Energy Physics - Theory Approach: Theoretical

### Abstract

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.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 1904.10969v1 on 21 January 2020