Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-09-02
Phys.Lett.B494:318-324,2000
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file 13 pages, minor corrections
Scientific paper
10.1016/S0370-2693(00)01214-4
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.
Nojiri Shin'ichi
Odintsov Sergei D.
Ogushi Sachiko
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