Axion-Dilatonic Conformal Anomaly from Ads/CFT Correspondence

TL;DR

This paper derives the 4D conformal anomaly for axion-dilaton gravity in AdS space using AdS/CFT correspondence, showing agreement with results from ${ m f N}=4$ super Yang-Mills theory, and discusses potential applications to gauged supergravities.

Contribution

It provides a derivation of the conformal anomaly in multidimensional axion-dilatonic AdS gravity and demonstrates its agreement with ${ m f N}=4$ super Yang-Mills theory results.

Findings

Conformal anomaly matches between supergravity and QFT calculations.

Analysis applies to bosonic sector of compactified IIB supergravity.

Discussion on extending results to gauged supergravities.

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 ${\cal N}=4$ super Yang-Mills theory conformally coupled with ${\cal N}=4$ conformal SG. Brief discussion on possibility to apply these results for gauged SGs is also presented.