# 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}
}
• Published 4 February 2020
• Physics
• Physical Review D
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…

### Non-compact duality, super-Weyl invariance and effective actions

In both N $$\mathcal{N}$$ = 1 and N $$\mathcal{N}$$ = 2 supersymmetry, it is known that Sp(2 n, ℝ) is the maximal duality group of n vector multiplets coupled to chiral scalar multiplets τ ( x, θ

### Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for γ*

• Physics
Journal of High Energy Physics
• 2021
We revisit the computation of the trace anomaly for Weyl fermions using dimensional regularization. For a consistent treatment of the chiral gamma matrix γ * in dimensional regularization, we work in

### Heat kernel and path integrals

• Mathematics
• 2020
We study generalized heat kernel coefficients, which appear in the trace of the heat kernel with an insertion of a first-order differential operator, by using a path integral representation. These

### Conformal Contact Terms and Semi-local Terms

We study conformal properties of local terms such as contact terms and semi-local terms in correlation functions of a conformal field theory. Not all of them are universal observables, but they do

### Anomalous hydrodynamics with dyonic charge

We study anomalous hydrodynamics with a dyonic charge. We show that the local second law of thermodynamics constrains the structure of the anomaly in addition to the structure of the hydrodynamic

### Weyl, Pontryagin, Euler, Eguchi and Freund

• M. Duff
• Physics
Journal of Physics A: Mathematical and Theoretical
• 2020
In a September 1976 PRL Eguchi and Freund considered two topological invariants: the Pontryagin number P∼∫d4xgR*R and the Euler number χ∼∫d4xgR*R* and posed the question: to what anomalies do they

### CP -violating supersymmetry anomaly

• Physics
• 2021
We show that CP-violating Weyl anomaly induces a supersymmetry anomaly in the formulation of superconformal supergravity as is observed in CP-preserving cases. This supersymmetry anomaly can be

### Weyl anomalies of four dimensional conformal boundaries and defects

• Physics
Journal of High Energy Physics
• 2022
Abstract Motivated by questions about quantum information and classification of quantum field theories, we consider Conformal Field Theories (CFTs) in spacetime dimension d ≥ 5 with a

## References

SHOWING 1-10 OF 84 REFERENCES

### Supersymmetry on curved spaces and superconformal anomalies

• Physics
• 2013
A bstractWe study the consequences of unbroken rigid supersymmetry of four-dimensional field theories placed on curved manifolds. We show that in Lorentzian signature the background vector field

### Trace anomalies in chiral theories revisited

• Physics
• 2014
A bstractMotivated by the search for possible CP violating terms in the trace of the energy-momentum tensor in theories coupled to gravity we revisit the problem of trace anomalies in chiral

### On the trace anomaly of a Weyl fermion in a gauge background

• Physics
The European Physical Journal C
• 2019
We study the trace anomaly of a Weyl fermion in an abelian gauge background. Although the presence of the chiral anomaly implies a breakdown of gauge invariance, we find that the trace anomaly can be

### Noncommutative superspace, Script N = 1/2 supersymmetry, field theory and string theory

We deform the standard four dimensional = 1 superspace by making the odd coordinates θ not anticommuting, but satisfying a Clifford algebra. Consistency determines the other commutation relations of

### On renormalization group flows in four dimensions

• Physics
• 2011
A bstractWe discuss some general aspects of renormalization group flows in four dimensions. Every such flow can be reinterpreted in terms of a spontaneously broken conformal symmetry. We analyze in