A dynamical brane in the gravitational dual of N=2 Sp(N) superconformal field theory

The particular model of d5 higher derivative gravity which is dual to N = 2 Sp(N) SCFT is considered. A (perturbative),AdS black hole in such theory i s constructed in the next-to-leading order of the AdS/CFT correspondence. T he surface counterterms are fixed by the conditions required for a well-def ined variational procedure and the finiteness of AdS space (when the brane goes to infinity). A dynamical brane is realized at the boundary of an AdS black hole with a radius that is larger than the horizon radius. The AdS/CF T correspondence dictates the parameters of the gravitational dual in such a way that the dynamical brane (the observable universe) always occurs outs ide the horizon.