Giant Gravitons from Holomorphic Surfaces

We introduce a class of supersymmetric cycles in spacetimes of the form AdS times a sphere or $T^{1,1}$ which can be considered as generalizations of the giant gravitons. Branes wrapped on these cycles preserve $\frac{1}{2}$, $\frac{1}{4}$ or $\frac{1}{8}$ of the supersymmetry. On the CFT side these configurations correspond to superpositions of the large number of BPS states.