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/1904.10969v2 (pdf) Date submitted: 2020-11-04 17:43 Submitted by: Bourget, Antoine Submitted to: SciPost Physics Academic field: Physics Specialties: 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

Dear Editor,

List of changes

1) We have changed the value of the central charge for the Z6 group in Table 1 and updated the caption of that Table accordingly.
2) Below equation (3.2) we have exchanged M and M^T
3) We added a sentence in the caption of Table 4.
3) Below equation (4.3) we have added a sentence.
4) On page 33 we added a full example of computation.
5) In section 5.1 and in Table 5 we have clarified the issue of S-folds, emphasizing that we focus on the full flux theories.

Submission & Refereeing History

Resubmission 1904.10969v2 on 4 November 2020
Submission 1904.10969v1 on 21 January 2020

Reports on this Submission

Report

The authors have addressed all the issues I have reported. I therefore recommend the paper for publication in SciPost.

• validity: high
• significance: high
• originality: good
• clarity: high
• formatting: good
• grammar: excellent