General principles of supersymmetry enhancement in renormalization-group flows

Uncover the general principles governing supersymmetry enhancement along renormalization-group flows of four-dimensional \(\mathcal{N}=1\) gauge theories, including how additional supercharges emerge from strongly coupled dynamics.

Background

The paper constructs an $\mathcal{N}=1$ $SU(2)^3$ gauge theory that is argued to flow to a rank-one $\mathcal{N}=3$ superconformal field theory, despite having no known ultraviolet origin from an $\mathcal{N}=2$ theory. The authors contrast this mechanism with earlier constructions in which supersymmetry enhancement arose from $\mathcal{N}=2$-based theories. They identify the broader understanding of how additional supercharges can emerge dynamically at strongly coupled infrared fixed points as an unresolved foundational issue, whose resolution could turn isolated examples into a systematic framework for finding Lagrangian descriptions of non-Lagrangian fixed points.