Magnetic fixed points and emergent supersymmetry

We establish in perturbation theory the existence of fixed points along the renormalization group flow for QCD with an adjoint Weyl fermion and scalar matter reminiscent of magnetic duals of QCD [1-3]. We classify the fixed points by analyzing their basin of attraction. We discover that among these there are stable supersymmetric ones emerging from a generic nonsupersymmetric renormalization group flow once the mass operators have been properly subtracted away. We therefore conclude that four dimensional supersymmetry can emerge as a fixed point theory from a nonsupersymmetric Lagrangian. Our results suggest that supersymmetry can be viewed as an emergent phenomenon in four dimensional field theory complementing recent discoveries in lower number of dimensions [4, 5].