Holographic Trace Anomaly and Cocycle of Weyl Group

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 13 pages, reference added, misprints corrected

Scientific paper

10.1016/S0370-2693(01)00550-0

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.

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