Spin dependent D-brane interactions and scattering amplitudes in matrix theory

TL;DR

This paper analyzes spin-dependent interactions between moving Dp-branes using boundary states, demonstrating scale invariance and matching matrix theory results with supergravity predictions for scattering amplitudes.

Contribution

It introduces an efficient boundary state approach to compute spin effects and explicitly maps matrix theory degrees of freedom to supergravity interactions.

Findings

Spin interactions are scale invariant.

Matrix theory results agree with supergravity calculations.

Explicit correspondence between matrix model and supergravity degrees of freedom.

Abstract

Spin interactions beteween two moving Dp-branes are analyzed using the Green-Schwarz formalism of boundary states. This approach turns out to be extremely efficient to compute all the spin effects related by supersymmetry to the leading v^4/r^7-p term. All these terms are shown to be scale invariant, supporting a matrix model description of supergravity interactions. By employing the LSZ reduction formula for matrix theory and the mentioned supersymmetric effective potential for D0-branes, we compute the t-pole of graviton-graviton and three form-three form scattering in matrix theory. The results are found to be in complete agreement with tree level supergravity in the corresponding kinematical regime and provide, moreover, an explicit map between these degrees of freedom in both theories.