Nilpotent Networks and 4D RG Flows

Understand

Starting from a general $\mathcal{N} = 2$ SCFT, we study the network of $\mathcal{N} = 1$ SCFTs obtained from relevant deformations by nilpotent mass parameters.

• We also study the case of flipper field deformations where the mass parameters are promoted to a chiral superfield, with nilpotent vev.
• Nilpotent elements of semi-simple algebras admit a partial ordering connected by a corresponding directed graph.
• We find strong evidence that the resulting fixed points are connected by a similar network of 4D RG flows.