Abstract
We describe the higher-form and non-invertible symmetries of 4d \( \mathcal{N} \) = 3 S-folds using the brane dynamics of their holographic duals. In cases with enhancement to \( \mathcal{N} \) = 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 \( \mathcal{N} \) = 3 theories for which Zafrir has conjectured \( \mathcal{N} \) = 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 \( \mathcal{N} \) = 3 field theories.
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Acknowledgments
We are very thankful to Mathew Bullimore, Michele Del Zotto, Jonathan Heckman, Saghar Hosseini, Craig Lawrie, Fernando Marchesano, Diego Regalado, Sakura Schäfer-Nameki, Yuji Tachikawa and Gabi Zafrir for illuminating discussions and comments. The work of ME, BH, and SR was supported by NSF grants PHY-1914934 and PHY-2112800. IGE is partially supported by STFC consolidated grant ST/T000708/1 and the Simons Collaboration on Global Categorical Symmetries.
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Etheredge, M., Etxebarria, I.G., Heidenreich, B. et al. Branes and symmetries for \( \mathcal{N} \) = 3 S-folds. J. High Energ. Phys. 2023, 5 (2023). https://doi.org/10.1007/JHEP09(2023)005
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DOI: https://doi.org/10.1007/JHEP09(2023)005