Conformal Anomaly and Finite Action in Gauged Supergravity via Ads/cft Correspondence

Details Conformal Anomaly and Finite Action in Gauged Supergravity via Ads/cft Correspondence Conformal Anomaly and Finite Action in Gauged Supergravity via Ads/cft Correspondence

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1047n&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

Dilatonic d5 gravity appears as special version of d5 gauged SG (special RG flow of scalars). It may be considered as another alternative to Einstein gravity. Its action is: S = (1)/({16π G)} ∫ {M_{d + 1} } {d{d + 1} x√ { - hat {G}} <=ft\{ hat {R} + X(φ )(hat {∇ } φ )2 + Y(φ ) hat {Δ } φ + Φ (φ ) + 4λ 2 } ; \}.} where ϕ is dilaton, Φ(ϕ) is the bulk potential of dilaton. Md+i is d + 1 dimensional manifold whose boundary is d dimensional manifold Md, and we choose Φ(0) = 0 According to AdS/CFT correspondence this action (on its AdS solutions) is SG dual to some QFT living on the boundary of bulk space. The running dilaton describes gauge coupling constant from AdS/CFT point of view. After some tedious work one can find the conformal anomaly of 4d QFT from d5 AdS gravity side...

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