Giant gravitons in a type IIA pp-wave background -: art. no. 106010

We examine giant gravitons with a world volume magnetic flux q in a type IIA pp-wave background and find that they can move away from the origin along the x(4) direction in target space satisfying Rx(4)=-q. This nontrivial relation can be regarded as a complementary relation of the giant graviton on a type IIA pp wave and is shown to be connected to the spacetime uncertainty principle. The giant graviton is also investigated in a system of N D0-branes as a fuzzy sphere solution. It is observed that x(4) enters into the fuzzy algebra as a deformation parameter. Such a background-dependent Myers effect guarantees that again we get the crucial relation of our giant graviton. In the paper, we also find a BIon configuration on the giant graviton in this background.