${\cal N}=1$ conformal duals of gauged $E_n$ MN models

Shlomo S. Razamat; Gabi Zafrir

doi:10.1007/JHEP06(2020)176

paper

$N = 1$ conformal duals of gauged $E_{n}$ MN models

arXiv:2003.01843 · doi:10.1007/JHEP06(2020)176

Abstract

We suggest three new $N = 1$ conformal dual pairs. First, we argue that the $N = 2$ $E_{6}$ Minahan-Nemeschansky (MN) theory with a $U S p (4)$ subgroup of the $E_{6}$ global symmetry conformally gauged with an $N = 1$ vector multiplet and certain additional chiral multiplet matter resides at some cusp of the conformal manifold of an $S U (2)^{5}$ quiver gauge theory. Second, we argue that the $N = 2$ $E_{7}$ MN theory with an $S U (2)$ subgroup of the $E_{7}$ global symmetry conformally gauged with an $N = 1$ vector multiplet and certain additional chiral multiplet matter resides at some cusp of the conformal manifold of a conformal $N = 1$ $U S p (4)$ gauge theory. Finally, we claim that the $N = 2$ $E_{8}$ MN theory with a $U S p (4)$ subgroup of the $E_{8}$ global symmetry conformally gauged with an $N = 1$ vector multiplet and certain additional chiral multiplet matter resides at some cusp of the conformal manifold of an $N = 1$ $S p in (7)$ 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 $N = 1$ analogues of $N = 2$ Argyres-Seiberg/Argyres-Wittig duals of the $E_{n}$ MN models. We also briefly comment on an $N = 1$ version of the Schur limit of the superconformal index.

23 pages, two figures

$N = 1$ conformal duals of gauged $E_{n}$ MN models

Abstract

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N=1 conformal duals of gauged En​ MN models

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$N = 1$ conformal duals of gauged $E_{n}$ MN models