Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions
arXiv:0706.0340 · doi:10.1103/PhysRevLett.98.261302
Abstract
Conformally invariant massless field systems involving only dimensionless parameters are known to describe particle physics at very high energy. In the presence of an external gravitational field, the conformal symmetry may generalize to Weyl invariance. However, the latter symmetry no longer survives after quantization: A Weyl anomaly appears. In this Letter, a purely algebraic understanding of the universal structure of the Weyl anomalies is presented. The results hold in arbitrary dimensions and independently of any regularization scheme.
4 pages - accepted for publication in Physical Review Letters
Cited by in corpus (5)
- Setting the boundary free in AdS/CFT
- Entanglement Entropy, Trace Anomalies and Holography
- General solutions of the Wess-Zumino consistency condition for the Weyl anomalies
- Hawking radiation, W-infinity algebra and trace anomalies
- Conformal invariant powers of the Laplacian, Fefferman-Graham ambient metric and Ricci gauging