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

Antonio Amariti; Davide Morgante; Antoine Pasternak; Simone Rota; Valdo Tatitscheff

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arXiv · 2303.07299

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

Antonio Amariti·Davide Morgante·Antoine Pasternak·Simone Rota·Valdo Tatitscheff

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Abstract

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.

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Antonio Amariti, Davide Morgante, Antoine Pasternak, Simone Rota, Valdo Tatitscheff. 2023-03-13. One-form symmetries in $\mathcal{N} = 3$ $S$-folds. https://arxiv.org/abs/2303.07299

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