Holographic Trace Anomaly and Cocycle of Weyl Group
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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.Keywords
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This publication has 17 references indexed in Scilit:
- Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT CorrespondenceCommunications in Mathematical Physics, 2001
- Diffeomorphisms and holographic anomaliesClassical and Quantum Gravity, 2000
- Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondenceJournal of High Energy Physics, 2000
- D = 4 super Yang-Mills, D = 5 gauged supergravity and D = 4 conformal supergravityNuclear Physics B, 1998
- Non-abelian tensor-multiplet anomaliesJournal of High Energy Physics, 1998
- World-volume approach to absorption by non-dilatonic branesNuclear Physics B, 1997
- Geometric classification of conformal anomalies in arbitrary dimensionsPhysics Letters B, 1993
- Weyl cocyclesClassical and Quantum Gravity, 1986
- Algebraic and Hamiltonian methods in the theory of non-Abelian anomaliesTheoretical and Mathematical Physics, 1984
- Consequences of anomalous ward identitiesPhysics Letters B, 1971