%0 Journal Article
%T Towards the classification of conformal field theories in arbitrary even dimension
%A D. Anselmi
%J Physics
%D 1999
%I arXiv
%R 10.1016/S0370-2693(00)00135-0
%X I identify the class of even-dimensional conformal field theories that is most similar to two-dimensional conformal field theory. In this class the formula, elaborated recently, for the irreversibility of the renormalization-group flow applies also to massive flows. This implies a prediction for the ratio between the coefficient of the Euler density in the trace anomaly (charge a) and the stress-tensor two-point function (charge c). More precisely, the trace anomaly in external gravity is quadratic in the Ricci tensor and the Ricci scalar and contains a unique central charge. I check the prediction in detail in four, six and eight dimensions, and then in arbitrary even dimension.
%U http://arxiv.org/abs/hep-th/9908014v2