Extended global symmetries for 4D $\mathcal{N}=1$ SQCD theories

Abstract

In arXiv:0811.1909 Spiridonov and Vartanov, using the superconformal index\ntechnique, found that 4-dimensional N=1 SQCD theory with SU(2) gauge group and\nfour flavors has 72 dual representations. Recently in arXiv:1209.1404 the\nauthors showed that these dual theories, when coupled to 5d hypermultiplets\nwith specific boundary conditions have an extended E_7 global symmetry. In this\nwork we find that for a reduced theory with 3 flavors the explicit SU(6) global\nsymmetry is enhanced to an E_6 symmetry in the presence of 5d hypermultiplets.\nWe also show connections between indices of different theories in 3 and 4\ndimensions.\n