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).