Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions

Details Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions Algebraic Classification of Weyl Anomalies in Arbitrary Dimensions

2007-06-03

arxiv.org/abs/0706.0340v1

Phys.Rev.Lett.98:261302,2007

Physics

High Energy Physics

High Energy Physics - Theory

4 pages - accepted for publication in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.98.261302

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.

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