Abstract
We suggest three new \( \mathcal{N} \) = 1 conformal dual pairs. First, we argue that the \( \mathcal{N} \) = 2 E6 Minahan-Nemeschansky (MN) theory with a USp(4) subgroup of the E6 global symmetry conformally gauged with an \( \mathcal{N} \) = 1 vector multiplet and certain additional chiral multiplet matter resides at some cusp of the conformal manifold of an SU(2)5 quiver gauge theory. Second, we argue that the \( \mathcal{N} \) = 2 E7 MN theory with an SU(2) subgroup of the E7 global symmetry conformally gauged with an \( \mathcal{N} \) = 1 vector multiplet and certain additional chiral multiplet matter resides at some cusp of the conformal manifold of a conformal \( \mathcal{N} \) = 1 USp(4) gauge theory. Finally, we claim that the \( \mathcal{N} \) = 2 E8 MN theory with a USp(4) subgroup of the E8 global symmetry conformally gauged with an \( \mathcal{N} \) = 1 vector multiplet and certain additional chiral multiplet matter resides at some cusp of the conformal manifold of an \( \mathcal{N} \) = 1 Spin(7) conformal gauge theory. We argue for the dualities using a variety of non-perturbative techniques including anomaly and index computations. The dualities can be viewed as \( \mathcal{N} \) = 1 analogues of \( \mathcal{N} \) = 2 Argyres-Seiberg/Argyres-Wittig duals of the En MN models. We also briefly comment on an \( \mathcal{N} \) = 1 version of the Schur limit of the superconformal index.
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Razamat, S.S., Zafrir, G. \( \mathcal{N} \) = 1 conformal duals of gauged En MN models. J. High Energ. Phys. 2020, 176 (2020). https://doi.org/10.1007/JHEP06(2020)176
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DOI: https://doi.org/10.1007/JHEP06(2020)176