Scheme-dependence of holographic conformal anomaly in d5 gauged supergravity with non-trivial bulk potential

TL;DR

This paper investigates how the holographic conformal anomaly in five-dimensional gauged supergravity depends on the scheme used, especially when the bulk potential varies, aligning with expectations from dual quantum field theories.

Contribution

It demonstrates the scheme dependence of holographic conformal anomaly in a non-trivial bulk potential setting, extending previous constant-potential analyses.

Findings

Holographic conformal anomaly varies with the scheme when bulk potential is non-constant.

Scheme dependence aligns with multi-loop conformal anomalies in dual QFT.

Results confirm consistency of scheme dependence with dual quantum field theory expectations.

Abstract

Bosonic sector of d5 gauged supergravity with specific parametrization of full scalar coset is considered (multi-dilaton gravity). Using holographic RG in the form suggested by de Boer-Verlinde-Verlinde the holographic d4 conformal anomaly (in the sector of curvature invariants) is found when bulk potential is not constant. Its comparison with the earlier calculation done in the scheme where expansion of metric and dilaton over radial coordinate of AdS space is used demonstrates scheme dependence of holographic conformal anomaly. In AdS/CFT correspondence where dilatons play role of coupling constants it coincides with multi-loop conformal anomaly which depends on regularization scheme in interacting dual QFT. Hence, scheme dependence of holographic conformal anomaly is consistent with dual QFT expectations.