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We describe the higher-form and non-invertible symmetries of 4d N=3 S-folds using the brane dynamics of their holographic duals. In cases with enhancement to N=4 supersymmetry, our analysis reproduces the known field theory results of Aharony, Seiberg and Tachikawa, and is compatible with the effective action recently given by Bergman and Hirano. Likewise, for two specific N=3 theories for which Zafrir has conjectured N=1 Lagrangians our results agree with those implied by the Lagrangian description. In all other cases, our results imply novel predictions about the symmetries of the corresponding N=3 field theories.more » « less
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Etxebarria, Iñaki García; Heidenreich, Ben; Lotito, Matteo; Sorout, Ajit Kumar (, Journal of High Energy Physics)A bstract We introduce a systematic approach to constructing $$ \mathcal{N} $$ N = 1 Lagrangians for a class of interacting $$ \mathcal{N} $$ N = 2 SCFTs. We analyse in detail the simplest case of the construction, arising from placing branes at an orientifolded ℂ 2 / ℤ 2 singularity. In this way we obtain Lagrangian descriptions for all the R 2 ,k theories. The rank one theories in this class are the E 6 Minahan-Nemeschansky theory and the C 2 × U(1) Argyres-Wittig theory. The Lagrangians that arise from our brane construction manifestly exhibit either the entire expected flavour symmetry group of the SCFT (for even k ) or a full-rank subgroup thereof (for odd k ), so we can compute the full superconformal index of the $$ \mathcal{N} $$ N = 2 SCFTs, and also systematically identify the Higgsings associated to partial closing of punctures.more » « less
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Etxebarria, Iñaki García; Heidenreich, Ben; Regalado, Diego (, Journal of High Energy Physics)
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