Conformal Symmetry and Central Charges in 4 Dimensions

Details Conformal Symmetry and Central Charges in 4 Dimensions Conformal Symmetry and Central Charges in 4 Dimensions

1992-05-07

arxiv.org/abs/hep-th/9205015v2

Nucl.Phys. B388 (1992) 627-647

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, corrected tex version

Scientific paper

10.1016/0550-3213(92)90557-R

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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