# CP -violating super-Weyl anomaly

@article{Nakagawa2020CPS, title={CP -violating super-Weyl anomaly}, author={Koichiro Nakagawa and Yu Nakayama}, journal={Physical Review D}, year={2020}, volume={101} }

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…

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Abstract
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