Equations of motion and Galilei invariance in D-particle dynamics

As a continuation of our previous work on the multi-body forces of D-partic les in supergravity and Matrix theory, we investigate the problem of motion . We show that the scattering of D-particles including recoil derived in Ma trix theory is precisely reproduced by supergravity with the discrete light -cone prescription up to the second order in Ii-dimensional Newton constant . An intimate connection of recoil and Galilei invariance in supergravity i s pointed out and elucidated. (C) 1999 Elsevier Science B.V.