论文标题
CP侵入超级Weyl异常
CP-violating super Weyl anomaly
论文作者
论文摘要
在四个维度的CP侵入共形场理论中，泛素密度可以出现在Weyl异常中。 Weyl Anomaly中的Pontryagin密度是一致的，但是它具有特征，即能量Momentum张量的母体三分函数只能在局部侵犯CP（半）。在本文中，我们研究了Weyl Anomaly中Pontryagin密度的超对称完成，其中中央电荷$ C $有效地成为一个复杂的数字。超对称性表明它伴随着与Weyl异常中的R-Mysmemetry测量值相关的急剧$θ$项。它还伴随着R-Current异常中的新CP侵入术语。尽管没有结论性的CP侵入性超级Weyl异常的扰动示例，但我们构建了产生这些异常的显式超对称性Dilaton有效作用。
In CP-violating conformal field theories in four dimensions, the Pontryagin density can appear in the Weyl anomaly. The Pontryagin density in the Weyl anomaly is consistent, but it has a peculiar feature that the parent three-point function of the energy-momentum tensor can violate CP only (semi-)locally. In this paper, we study the supersymmetric completion of the Pontryagin density in the Weyl anomaly, where the central charge $c$ effectively becomes a complex number. The supersymmetry suggests that it accompanies the graviphoton $θ$ term associated with the R-symmetry gauging in the Weyl anomaly. It also accompanies new CP-violating terms in the R-current anomaly. While there are no conclusive perturbative examples of CP-violating super Weyl anomaly, we construct explicit supersymmetric dilaton effective action which generates these anomalies.
