Holographic Trace Anomaly and Cocycle of Weyl Group
arXiv:hep-th/0103082 · doi:10.1016/S0370-2693(01)00550-0
Abstract
The behavior of the divergent part of the bulk AdS/CFT effective action is considered with respect to the special finite diffeomorphism transformations acting on the boundary as a Weyl transformation of the boundary metric. The resulting 1-cocycle of the Weyl group is in full agreement with the 1-cocycle of the Weyl group obtained from the cohomological consideration of the effective action of the corresponding CFT.
Latex, 13 pages, reference added, misprints corrected