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

by Philip C. Argyres, Antoine Bourget, Mario Martone

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Submission summary

As Contributors: Antoine Bourget
Arxiv Link: (pdf)
Date accepted: 2020-12-01
Date submitted: 2020-11-04 17:43
Submitted by: Bourget, Antoine
Submitted to: SciPost Physics
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


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.

Published as SciPost Phys. 9, 083 (2020)

Author comments upon resubmission

Dear Editor,

Please find attached the new version of our paper. We have addressed the various comments made by the referees, that we thank for their detailed read and insightful remarks. We have addressed all these comments as detailed below.

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.

Reports on this Submission

Anonymous Report 2 on 2020-11-16 (Invited 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

Anonymous Report 1 on 2020-11-4 (Invited Report)


The authors have addressed the comments of the referees. In my opinion, this article deserves publication in SciPost.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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