Equations of Motion and Galilei Invariance in D-Particle Dynamics

TL;DR

This paper demonstrates that D-particle scattering results from Matrix theory are accurately reproduced by supergravity calculations, highlighting the role of Galilei invariance and recoil effects in D-particle dynamics.

Contribution

It establishes a precise correspondence between Matrix theory and supergravity for D-particle scattering, emphasizing Galilei invariance and recoil effects.

Findings

Supergravity reproduces Matrix theory scattering results up to second order.

Recoil effects are closely linked to Galilei invariance in supergravity.

The work extends understanding of multi-body forces in D-particle systems.

Abstract

As a continuation of our previous work on the multi-body forces of D-particles in supergravity and Matrix theory, we investigate the problem of motion. We show that the scattering of D-particles including recoil derived in Matrix theory is precisely reproduced by supergravity with the discrete light-cone prescription up to the second order in 11 dimensional Newton constant. An intimate connection of recoil and Galilei invariance in supergravity is pointed out and elucidated.