Supersymmetry anomaly in the superconformal Wess-Zumino model

A bstract We present a comprehensive analysis of supersymmetry anomalies in the free and massless Wess-Zumino (WZ) model perturbation theory. At classical level possesses $$ \mathcal{N} N = 1 superconformal symmetry, which is partially broken by quantum anomalies. The form part symmetry they break depend on multiplet conserved currents used. It was previously shown that R-symmetry anomaly conformal current induces an Q-supersymmetry, appears first 4-point functions. Here we confirm this result explicit 1-loop computation using supersymmetric Pauli-Villars regulator. does not exist regulated theory because regulator breaks invariance, S-supersymmetry explicitly. minimal massive Ferrara-Zumino (FZ) one preserved specific field dependent combination Q- S- multiplet. While non anomalous, original S-supersymmetries are explicitly finite contact terms, both renormalized theories. for may be obtained from FZ set local counterterms eliminate breaking, thus restoring invariance up to However, necessarily renders as manifest starting at functions currents. paper contains detailed discussion number issues subtleties related Ward identities useful wider context.