Title: A functional perspective on emergent supersymmetry,
Abstract: We investigate the emergence of ${\cal N}=1$ supersymmetry in the long-range
behavior of three-dimensional parity-symmetric Yukawa systems. We discuss a
renormalization approach that manifestly preserves supersymmetry whenever such
symmetry is realized, and use it to prove that supersymmetry-breaking operators
are irrelevant, thus proving that such operators are suppressed in the
infrared. All our findings are illustrated with the aid of the
$\epsilon$-expansion and a functional variant of perturbation theory, but we
provide numerical estimates of critical exponents that are based on the
non-perturbative functional renormalization group.