Generalized complex marginal deformation of pp-waves and giant gravitons

We present the Penrose limits of a complex marginal deformation of AdS5×S5AdS5×S5, which incorporates the SL(2,R)SL(2,R) symmetry of type IIB theory, along the (J,0,0)(J,0,0) geodesic and along the (J,J,J)(J,J,J) geodesic. We discuss giant gravitons on the deformed (J,0,0)(J,0,0) pp-wave background.