D-brane Scattering in IIB String Theory and IIB Matrix Model

TL;DR

This paper compares D-brane scattering amplitudes in IIB string theory and the IIB matrix model, demonstrating agreement in certain limits and exploring boundary conditions for open strings.

Contribution

It provides a detailed comparison between string theory and matrix model calculations of D-brane scattering, including new methods for boundary condition analysis.

Findings

Agreement between string theory and matrix model results in specific limits

Method for analyzing more general open string boundary conditions

Insights into D-brane interactions in IIB string theory

Abstract

We consider two Dirichlet p-branes with lower dimensional brane charges and their scattering. We first calculate the cylinder amplitude of open string with suitable boundary conditions. We compare this result with that in the IIB matrix model. We find the agreement between them in the long distance, low velocity, or large field limit. We also find a way to investigate more general boundary conditions for open string.