We briefly recall the procedure for computing the Ward identities in the presence of a regulator which violates the symmetry being considered. We compute the first nontrivial correction to the supersymmetry Ward identity of the Wess–Zumino model in the presence of background supergravity using dimensional regularization. We find that the result can be removed using a finite local counter term and so there is no supersymmetry anomaly.

中文翻译：

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超重力背景下的超对称异常和 Wess-Zumino 模型

我们简要回顾了在存在违反所考虑的对称性的调节器的情况下计算 Ward 恒等式的过程。我们使用维度正则化计算在存在背景超重力的情况下对 Wess-Zumino 模型的超对称 Ward 恒等式的第一个非平凡校正。我们发现可以使用有限的局部反项去除结果，因此不存在超对称异常。