Abstract
We introduce a systematic approach to constructing \( \mathcal{N} \) = 1 Lagrangians for a class of interacting \( \mathcal{N} \) = 2 SCFTs. We analyse in detail the simplest case of the construction, arising from placing branes at an orientifolded ℂ2/ℤ2 singularity. In this way we obtain Lagrangian descriptions for all the R2,k theories. The rank one theories in this class are the E6 Minahan-Nemeschansky theory and the C2 × 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 \( \mathcal{N} \) = 2 SCFTs, and also systematically identify the Higgsings associated to partial closing of punctures.
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Etxebarria, I.G., Heidenreich, B., Lotito, M. et al. Deconfining \( \mathcal{N} \) = 2 SCFTs or the art of brane bending. J. High Energ. Phys. 2022, 140 (2022). https://doi.org/10.1007/JHEP03(2022)140
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DOI: https://doi.org/10.1007/JHEP03(2022)140