The Finiteness Requirement for Six-Dimensional Euclidean Einstein Gravity

Abstract

The finiteness requirement for Euclidean Einstein gravity is shown to be so stringent that only the flat metric is allowed. We examine counterterms in 4D and 6D Ricci-flat manifolds from general invariance arguments.

15 pages, Introduction is improved, many figures(eps)

References in corpus (2)

• Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence
• Two loop and all loop finite 4-metrics

Cited by in corpus (1)

• Six-dimensional one-loop divergences in quantum gravity from the $\mathcal{N}=4$ spinning particle