Mathcal{N} = 1 conformal duals of gauged En MN models

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.