Non-Perturbative Constraints on Light Sparticles from Properties of the RG Flow

Understand

We study certain small supersymmetry-breaking perturbations of a large class of strongly coupled four-dimensional R-symmetric renormalization group (RG) flows between superconformal field theories in the ultraviolet (UV) and the infrared (IR).

• We analyze the conditions under which these perturbations scale to zero at leading order in the deep IR, resulting in accidental supersymmetry.
• Furthermore, we connect the emergence of IR supersymmetry in this context with a quantity that was recently conjectured to be larger at the UV starting points of the underlying supersymmetric flows than at the corresponding IR endpoints, and we propose a bound on emergent supersymmetry.
• Along the way, we prove a simple and useful non-perturbative theorem regarding the IR behavior of global flavor currents.