  We consider supergravity in five-dimensional Anti-De Sitter space $AdS_{5}$
with minimal supersymmetry, encoded by a Sasaki-Einstein metric on a
five-dimensional compact manifold $M$. Our main result reveals how the
Sasaki-Einstein metric emerges from a canonical state in the dual CFT, defined
by a superconformal gauge theory in four dimensional Minkowski space
$\mathbb{R}^{3,1}$in the t'Hooft limit where the rank $N$ tends to infinity. We
obtain explicit finite $N-$approximations to the Sasaki-Einstein metric,
expressed in terms of a canonical (i.e. background free) BPS-state on the gauge
theory side. We also provide a string theory interpretation of the BPS-state in
question, which sheds new light on the previously noted intriguing duality of
giant gravitons.
