Back to Search
Start Over
CP-violating super Weyl anomaly
- Source :
- Phys. Rev. D 101, 105013 (2020)
- Publication Year :
- 2020
-
Abstract
- 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 $\theta$ 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.<br />Comment: 21 pages, typos fixed, references added
- Subjects :
- High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. D 101, 105013 (2020)
- Publication Type :
- Report
- Accession number :
- edsarx.2002.01128
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.101.105013