Consistency of supersymmetric 't Hooft anomalies

Preprint number: UUITP- 48/20 Authors: Adam Bzowski, Guido Festuccia, Vladimir Prochazka Abstract: We consider recent claims that supersymmetry is anomalous in the presence of a R-symmetry anomaly. We revisit arguments that such an anomaly in supersymmetry can be removed and write down an explicit counterterm that accomplishes it. Removal of the supersymmetry anomaly results in extra terms in the Ward identities for other anomalous symmetries. We show how Wess-Zumino consistency conditions are modi ed when the anomaly is removed. Finally we check that the modi ed Wess-Zumino consistency conditions are satis ed, and supersymmetry unbroken, in an explicit one loop computation using Pauli-Villars regulators. For this purpose we comment on how to use Pauli-Villars to regulate correlators of components of the supercurrent multiplet in a manifestly supersymmetric way.