Emergent N=4 Supersymmetry from N=1

Abstract

We discover a four-dimensional N = 1 supersymmetric field theory that is dual to the N = 4 super Yang-Mills theory with gauge group SU(2n + 1) for each n. The dual theory is constructed through the diagonal gauging of the SU(2n + 1) flavor symmetry of three copies of a strongly coupled superconformal field theory (SCFT) of Argyres-Douglas type. We find that this theory flows in the infrared to a strongly coupled N =1 SCFT that lies on the same conformal manifold as N = 4 super Yang-Mills with gauge group SU(2n + 1). Our construction provides a hint on why certain N = 1, 2 SCFTs have identical central charges (a = c).