We examine spherical p-branes in [Formula Presented] that wrap an [Formula Presented] in either [Formula Presented] [Formula Presented] or [Formula Presented] [Formula Presented] We first construct a two-spin giant solution expanding in [Formula Presented] and has spins both in [Formula Presented] and [Formula Presented] For [Formula Presented] it is 1/2 supersymmetric, and it reduces to the single-spin giant graviton when the AdS spin vanishes. We study some of its basic properties such as instantons, noncommutativity, zero modes, and the perturbative spectrum. All vibration modes have real and positive frequencies determined uniquely by the spacetime curvature, and evenly spaced. We next consider the (0+1)-dimensional sigma models obtained by keeping generally time-dependent transverse coordinates, describing a warped product of a breathing mode and a point particle on [Formula Presented] or [Formula Presented] The Bogomolnyi-Prasad-Sommerfield bounds show that the only spherical supersymmetric solutions are the single and the two-spin giants. Moreover, we integrate the sigma model and separate the canonical variables. We quantize exactly the point-particle part of the motion, which in local coordinates gives Pschl-Teller type potentials, and calculate its contribution to the anomalous dimension. 2004 The American Physical Society.
