String versus Einstein frame in an AdS/CFT induced quantum dilatonic brane-world universe - art. no. 043505

An AdS/CFT induced quantum dilatonic brane world where the 4D boundary is f lat or a de Sitter (inflationary) or anti-de Sitter brane is considered. Th e classical brane tension is fixed but the boundary QFT produces the effect ive brane tension by means of the account of corresponding conformal anomal y induced effective action. This results in inducing brane worlds in accord ance with the AdS/CFT setup as warped compactification. The explicit. indep endent construction of quantum induced dilatonic brane worlds in two frames , the string and Einstein frames, is done. Their complete equivalency is de monstrated for all quantum cosmological brane worlds under discussion. incl uding several examples of classical brane-world black holes. This is differ ent from quantum corrected 4D dilatonic gravity where a de Sitter solution exists in the Einstein but not in the Jordan (string) frame. The role of qu antum corrections in massive graviton perturbations around an anti-de Sitte r brane is briefly discussed.