Axion-Dilatonic Conformal Anomaly from Ads/CFT Correspondence

Abstract

We discuss general multidimensional axion-dilatonic AdS gravity which may correspond to bosonic sector of Gibbons-Green-Perry (compactified) IIB supergravity with RR-scalar (axion). Using AdS/CFT correspondence the 4d conformal anomaly on axion-dilaton-gravitational background is found from SG side. It is shown that for IIB SG with axion such conformal anomaly coincides with the one obtained from QFT calculation in $\mathcal{N}=4$ super Yang-Mills theory conformally coupled with $\mathcal{N}=4$ conformal SG. Brief discussion on possibility to apply these results for gauged SGs is also presented.

LaTeX file, 10 pages

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