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

• DOI: 10.48550/arxiv.2303.07299
• Publication Date: 2023-10-03
• Authors: Amariti, Antonio; Morgante, Davide; Pasternak, Antoine; Rota, Simone; Tatitscheff, Valdo
• Keywords: High Energy Physics - Theory; High Energy Physics - Theory (hep-th); Physics; QC1-999; 0103 physical sciences; FOS: Physical sciences; [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th]; 01 natural sciences

We classify the global one-form symmetries for non-Lagrangian \mathcal{N}=3𝒩=3 SCFTs that arise by the action of SS-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)(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}=3𝒩=3 SCFTs.