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arXiv · hep-th/9911129

Closed Form Effective Conformal Anomaly Actions in D$\geq$4

S. Deser
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Abstract

I present, in any D$\geq$4, closed-form type B conformal anomaly effective actions incorporating the logarithmic scaling cutoff dependence that generates these anomalies. Their construction is based on a novel class of Weyl-invariant tensor operators. The only known type A actions in D$\geq$4 are extensions of the Polyakov integral in D=2; despite contrary appearances, we show that their nonlocality does not conflict with general anomaly requirements. They are, however, physically unsatisfactory, prompting a brief attempt at better versions.

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S. Deser. 2000-02-23. Closed Form Effective Conformal Anomaly Actions in D$\geq$4. https://doi.org/10.1016/s0370-2693(00)00315-4

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