Scale independent spin effects in D-brane dynamics

Abstract

We study spin interactions between two moving D-branes using the Green-Schwarz formalism of boundary states. We focus our attention on the leading terms for small velocities v, of the form v^{4-n}/r^{7-p+n} (v^{2-n}/r^{3-p+n}) for p-p (p-p+4) systems, with 16 (8) supercharges. In analogy with standard G-S computations of massless four-point one-loop amplitudes in Type I theory, the above terms are governed purely by zero modes, massive states contributions cancelling as expected by the residual supersymmetry. This implies the scale invariance of these leading spin-effects, supporting the relevant matrix model descriptions of supergravity interactions; in this context, we also discuss similar results for more general brane configurations. We then give a field theory interpretation of our results, that allows in particular to deduce the gyromagnetic ratio g=1 and the presence of a quadrupole moment for D0-branes.

31 pages, 3 figures, RevTex; final version to appear on Nuclear Physics B

References in corpus (6)

• A note on supersymmetric D-brane dynamics
• Spin-Orbit Interaction from Matrix Theory
• g = 2 as a Gauge Condition
• Closed string radiation from moving D-branes
• Electric and magnetic interaction of dyonic D-branes and odd spin structure
• g=1 for Dirichlet 0-branes

Cited by in corpus (22)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Lectures on D-branes
• Supergravity currents and linearized interactions for Matrix Theory configurations with fermionic backgrounds
• Equations of Motion and Galilei Invariance in D-Particle Dynamics
• Zero-Branes, Quantum Mechanics and the Cosmological Constant
• D1D5 microstate geometries from string amplitudes
• Spin-Spin Interaction In Matrix Theory
• Three Graviton Scattering in M-Theory
• The Matrix Theory S-Matrix
• Supersymmetric completion of supersymmetric quantum mechanics
• Noncommutativity and the Motion of D${}_p$-brane along Itself
• Higher Order Spin-dependent Terms in D0-brane Scattering from the Matrix Model
• On the supersymmetric effective action of Matrix theory
• Eleven-dimensional massless superparticles and matrix theory spin-orbit couplings revisited
• Non-perturbative membrane spin-orbit couplings in M/IIA theory
• Power of Supersymmetry in D-particle Dynamics
• Structure in Supersymmetric Yang-Mills Theory
• Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory
• Fermionic Backgrounds and Condensation of Supergravity Fields in IIB Matrix Model
• Spin dependent D-brane interactions and scattering amplitudes in matrix theory
• The SU(N) Matrix Model at Two Loops
• The Supercharges of Eleven-dimensional Supergraviton on Gravitational Wave Background