We consider a brane-world universe where an arbitrary large N quantum CFT i
s living on the domain wall. This corresponds to the implementation of a Ra
ndall-Sundrum compactification within the context of AdS/CFT correspondence
. Using the anomaly induced effective action for the domain wall CFT the po
ssibility of a self-consistent quantum creation of the 4d de Sitter wall Un
iverse (inflation) is demonstrated, In case of the maximally SUSY Yang-Mill
s theory the exact correspondence with radius and effective tension found b
y Hawking-Hertog-Reall is obtained. The hyperbolic wall Universe may be ind
uced by quantum effects only for exotic matter (higher derivatives conforma
l scalar) which has unusual sign of the central charge. (C) 2000 Elsevier S
cience B.V. All rights reserved.