Supergravity, supermembrane, and the m(atrix) model on pp waves

In the first part of this paper, we study the back reaction of the large-N light cone momentum on the maximally supersymmetric anti-pp-wave background. This gives the type IIA geometry of large-N D0-branes on curved space with fluxes. By taking an appropriate decoupling limit, we conjecture a new duality between string theory on that background and dual field theory on D0-branes, which we derive by calculating linear coupling terms. Agreement of decoupling quantities, SO(3)xSO(6) isometry, and the Higgs branch on both theories are shown. Also we find that, whenever the dual field theory is weakly coupled, the curvature of the geometry is large. In the second part of this paper, we derive the supermembrane action on a general pp-wave background only through the properties of a null Killing vector and, through this, derive the matrix model