Scattering of zero branes off elementary strings in Matrix Theory

TL;DR

This paper demonstrates that the scattering of zero branes off elementary strings in Matrix Theory matches supergravity predictions at leading order, with no higher-loop corrections, due to boundary conformal field theory properties.

Contribution

It provides a one-loop quantum mechanics calculation that reproduces supergravity results and shows no higher-loop corrections at large impact parameters and low velocities.

Findings

Supergravity results are recovered by one-loop calculations.

No further corrections at higher loops in the specified regime.

Boundary conformal field theory explains the agreement.

Abstract

We consider the scattering of zero branes off an elementary string in Matrix theory or equivalently gravitons off a longitudinally wrapped membrane. The leading supergravity result is recovered by a one-loop calculation in zero brane quantum mechanics. Simple scaling arguments are used to show that there are no further corrections at higher loops, to the leading term in the large impact parameter, low velocity expansion. The mechanism for this agreement is identified in terms of properties of a recently discovered boundary conformal field theory.