Holographic renormalization group and conformal anomaly for AdS_9/CFT_8 correspondence

Abstract

Holographic Renormalization Group (RG) in nine dimensions is considered. The d8 holographic conformal anomaly is found. It should correspond to d8 CFT in AdS_9/CFT_8 correspondence. The comparison of holographic and QFT anomalies in d8 de Sitter space is done. It may give the indication for rigorous AdS_9/CFT_8 correspondence proposal.

LaTeX file, 14 pages, discussion is extended

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• A classification of local Weyl invariants in D=8
• Asymptotically de Sitter dilatonic space-time, holographic RG flow and conformal anomaly from (dilatonic) dS/CFT correspondence
• Simple recipe for holographic Weyl anomaly
• Holographic Trace Anomaly and Local Renormalization Group
• The Dirichlet Obstruction in AdS/CFT
• On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit
• 7D Randall-Sundrum cosmology, brane-bulk energy exchange and holography
• Third Order Lagrangians, Weyl Invariants & Classical Trace Anomaly in Six Dimensions