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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
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Antoine Bourget |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/1904.10969v2 (pdf) |
| Date accepted: | 2020-12-01 |
| Date submitted: | 2020-11-04 17:43 |
| Submitted by: | Bourget, Antoine |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
Author comments upon resubmission
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.
Published as SciPost Phys. 9, 083 (2020)