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One-form symmetries in $\mathcal{N} = 3$ $S$-folds

by Antonio Amariti, Davide Morgante, Antoine Pasternak, Simone Rota, Valdo Tatitscheff

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Submission summary

Authors (as registered SciPost users): Davide Morgante · Valdo Tatitscheff
Submission information
Preprint Link: scipost_202305_00029v2  (pdf)
Date accepted: 2023-08-21
Date submitted: 2023-07-27 11:08
Submitted by: Tatitscheff, Valdo
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


We classify the global one-form symmetries for non-Lagrangian $\mathcal{N}=3$ SCFTs that arise by the action of $S$-fold projections on D3-branes. Such a classification is dictated, on a generic point of the Coulomb branch, by probing the charge spectrum of $(p, q)$-strings in the brane setup. The charge lattice of lines is then obtained by finding the ones that are genuine modulo screening by dynamical particles. The one-form symmetries are then extracted from the maximal sub-lattices of mutually local lines. We further comment on the existence of non-invertible symmetries for some of these $\mathcal{N}=3$ SCFTs.

Author comments upon resubmission

We thank the referees for their thoughtful reports.

List of changes

We addressed the referee's request in Report 2 by adding mathematical details and a reference in the paragraph preceding Eq. (19) on page 7.

Published as SciPost Phys. 15, 132 (2023)

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