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We briefly recall the procedure for computing the Ward Identities in thepresence of a regulator which violates the symmetry being considered. Wecompute the first non-trivial correction to the supersymmetry Ward Identity ofthe Wess-Zumino model in the presence of background supergravity usingdimensional regularisation. We find that the result can be removed using afinite local counter term and so there is no supersymmetry anomaly.

Supersymmetry anomalies and the Wess-Zumino Model in a supergravity background