Four-Brane and Six-Brane Interactions in M(atrix) Theory

TL;DR

This paper analyzes four-brane and six-brane interactions within M(atrix) theory, demonstrating agreement with string theory predictions at short distances and correct long-distance behavior due to near-supersymmetry.

Contribution

It provides a detailed computation of velocity-dependent potentials for brane configurations in M(atrix) theory, confirming their consistency with string theory results.

Findings

Velocity-dependent potentials match string theory at short distances.

Configurations near supersymmetry reproduce correct long-distance behavior.

Results support the validity of M(atrix) theory for brane interactions.

Abstract

We discuss the proposed description of configurations with four-branes and six-branes in m(atrix) theory. Computing the velocity dependent potential between these configurations and gravitons and membranes, we show that they agree with the short distance string results computed in type IIa string theory. Due to the ``closeness'' of these configuration to a supersymmetric configuration the m(atrix) theory reproduces the correct long distance behavior.