Abstract
One can derive a large class of new \( \mathcal{N} \) = 1 SCFTs by turning on \( \mathcal{N} \) = 1 preserving deformations for \( \mathcal{N} \) = 2 Argyres-Dougals theories. In this work, we use \( \mathcal{N} \) = 2 superconformal indices to get indices of \( \mathcal{N} \) = 1 SCFTs, then use these indices to derive chiral rings of \( \mathcal{N} \) = 1 SCFTs. For a large class of \( \mathcal{N} \) = 2 theories, we find that the IR theory contains only free chirals if we deform the parent \( \mathcal{N} \) = 2 theory using the Coulomb branch operator with smallest scaling dimension. Our results provide interesting lessons on studies of \( \mathcal{N} \) = 1 theories, such as a-maximization, accidental symmetries, chiral ring, etc.
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Xie, D., Yan, W. A study of \( \mathcal{N} \) = 1 SCFT derived from \( \mathcal{N} \) = 2 SCFT: index and chiral ring. J. High Energ. Phys. 2023, 201 (2023). https://doi.org/10.1007/JHEP03(2023)201
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DOI: https://doi.org/10.1007/JHEP03(2023)201