Equations of Motion and Galilei Invariance in D-Particle Dynamics

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.

19 pages, no figures, LaTeX

References in corpus (12)

• One loop in eleven dimensions
• Higher Order Graviton Scattering in M(atrix) Theory
• Why Matrix Theory is Hard
• Multi-Body Interactions of D-Particles in Supergravity and Matrix Theory
• A note on supersymmetric D-brane dynamics
• On Graviton Scattering Amplitudes in M-Theory
• Scale independent spin effects in D-brane dynamics
• Spin-Orbit Interaction from Matrix Theory
• Multigraviton Scattering in the Matrix Model
• Spin-Spin Interaction In Matrix Theory
• Supergravity and matrix theory do not disagree on multi-graviton scattering
• Higher Loop Effects in M(atrix) Orbifolds

Cited by in corpus (23)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Monte Carlo studies of Matrix theory correlation functions
• Direct test of the gauge-gravity correspondence for Matrix theory correlation functions
• Generalized AdS-CFT Correspondence for Matrix Theory in the Large N limit
• Supercurrents in Matrix theory and the generalized AdS/CFT correspondence
• Three Graviton Scattering in M-Theory
• From Supermembrane to Matrix String
• PP-Wave Holography for Dp-Brane Backgrounds
• Generalized Conformal Symmetry and Oblique AdS/CFT Correspondence for Matrix Theory
• Lorentz Symmetry and IR Structure of The BFSS Matrix Model
• Gauge/Gravity Duality for Interactions of Spherical Membranes in 11-dimensional pp-wave
• Non-Renormalization Theorems for Operators with Arbitrary Numbers of Derivatives in $\mathcal{N}=4$ Yang Mills Theory
• On the Supersymmetry and Gauge Structure of Matrix Theory
• Dynamics of Antimembranes in the Maximally Supersymmetric Eleven-Dimensional pp Wave
• Higher-derivative terms in one-loop effective action for general trajectories of D-particles in Matrix theory
• Conformal Symmetry and A New Gauge in the Matrix Model
• Power of Supersymmetry in D-particle Dynamics
• Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory
• Covariantized Matrix theory for D-particles
• A Theorem on the Power of Supersymmetry in Matrix Theory
• Three-graviton scattering and recoil effects in M-atrix theory
• Emergence of longitudinal 7-branes and fuzzy S^4 in compactification scenarios of M(atrix) theory
• The SU(N) Matrix Model at Two Loops