Emergent N=4 supersymmetry from N=1

Abstract

We discover a four-dimensional $\mathcal{N}=1$ supersymmetric field theory that is dual to the $\mathcal{N}=4$ 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 $\mathcal{N}=1$ SCFT that lies on the same conformal manifold as $\mathcal{N}=4$ super Yang-Mills with gauge group $SU(2n+1)$. Our construction provides a hint on why certain $\mathcal{N}=1,2$ SCFTs have identical central charges ($a=c$).

5 pages, 1 figure, v3: Journal published version

References in corpus (5)

• Four-Dimensional SCFTs from M5-Branes
• N=1 Deformations and RG Flows of N=2 SCFTs
• Emergence of supersymmetry at a critical point of a lattice model
• N=1 Deformations and RG Flows of N=2 SCFTs, Part II: Non-principal deformations
• Vertex operator algebras of Argyres-Douglas theories from M5-branes