Towards the classification of conformal field theories in arbitrary even dimension

Details Towards the classification of conformal field theories in arbitrary even dimension Towards the classification of conformal field theories in arbitrary even dimension

1999-08-02

arxiv.org/abs/hep-th/9908014v2

Phys.Lett. B476 (2000) 182-187

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1016/S0370-2693(00)00135-0

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.

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