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Conformal Symmetry and Central Charges in 4 Dimensions
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abstract
The trace anomaly of matter in curved space generates an effective action for the conformal factor of the metric tensor in $D=4$ dimensions, analogous to the Polyakov action for $D=2$. We compute the contributions of the reparameterization ghosts to the central charges for $D=4$, as well as the quantum contribution of the conformal factor itself. The ghost contribution satisfies the necessary Wess-Zumino consistency condition only if combined with the spin-2 modes, whose contributions to the trace anomaly we also discuss.
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Cited by 1 Pith paper
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On the Renormalization in Conformal Quantum Gravity
A formal BRST proof that one-loop divergences in conformal quantum gravity, pure or with matter, are invariant under local conformal transformations.
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