论文标题

超对称't Hooft异常的一致性

Consistency of supersymmetric 't Hooft anomalies

论文作者

Bzowski, Adam, Festuccia, Guido, Procházka, Vladimír

论文摘要

我们考虑了最近的主张,即在R-对称异常存在下,超对称是异常的。我们回顾了可以删除这种超对称性的这种异常现象,并写下实现它的明确反式。去除超对称异常需要扩大相应的电流多重。结果,其他已经异常的对称对称性的病房身份获得了额外的条款。只有在强制选择当前多重组的选择时,才会阻碍此过程。我们展示了当删除异常时如何修改Wess-Zumino的一致性条件。最后,我们在使用Pauli-Villars调节器的明确一个环计算中检查了修改的WESS-Zumino一致性条件,并在一个明确的一个环计算中不间断。为此,我们评论了如何使用Pauli-Villars以明显的超对称方式来调节(超级)当前多重组的组件的相关器。

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 requires enlarging the corresponding current multiplet. As a consequence the Ward identities for other symmetries that are already anomalous acquire extra terms. This procedure can only be impeded when the choice of current multiplet is forced. We show how Wess-Zumino consistency conditions are modified when the anomaly is removed. Finally we check that the modified Wess-Zumino consistency conditions are satisfied, and supersymmetry unbroken, in an explicit one loop computation using Pauli-Villars regulators. To this end we comment on how to use Pauli-Villars to regulate correlators of components of (super)current multiplets in a manifestly supersymmetric way.

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