Abstract
We determine the structure of 1-form symmetries for all 4d \( \mathcal{N} \) = 2 theories that have a geometric engineering in terms of type IIB string theory on isolated hypersurface singularities. This is a large class of models, that includes Argyres-Douglas theories and many others. Despite the lack of known gauge theory descriptions for most such theories, we find that the spectrum of 1-form symmetries can be obtained via a careful analysis of the non-commutative behaviour of RR fluxes at infinity in the IIB setup. The final result admits a very compact field theoretical reformulation in terms of the BPS quiver. We illustrate our methods in detail in the case of the (\( \mathfrak{g},{\mathfrak{g}}^{\prime } \)) Argyres-Douglas theories found by Cecotti-Neitzke-Vafa. In those cases where \( \mathcal{N} \) = 1 gauge theory descriptions have been proposed for theories within this class, we find agreement between the 1-form symmetries of such \( \mathcal{N} \) = 1 Lagrangian flows and those of the actual Argyres-Douglas fixed points, thus giving a consistency check for these proposals.
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Del Zotto, M., Etxebarria, I.G. & Hosseini, S.S. Higher form symmetries of Argyres-Douglas theories. J. High Energ. Phys. 2020, 56 (2020). https://doi.org/10.1007/JHEP10(2020)056
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DOI: https://doi.org/10.1007/JHEP10(2020)056