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-tenser two-point function (charge c). More precisely, the tract anomaly in external gravity is quadratic in the Ricci tensor and the Ricci scalar and contains a unique central charge. 1 check the prediction in detail in four, six and eight dimensions, and then in arbitrary even dimension. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
Towards the classification of conformal field theories in arbitrary even dimension
ANSELMI, DAMIANO
2000-01-01
Abstract
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-tenser two-point function (charge c). More precisely, the tract anomaly in external gravity is quadratic in the Ricci tensor and the Ricci scalar and contains a unique central charge. 1 check the prediction in detail in four, six and eight dimensions, and then in arbitrary even dimension. (C) 2000 Published by Elsevier Science B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
