Interactions of Eight-branes in String Theory and M(atrix) Theory

TL;DR

This paper investigates the interactions of eight-branes in M(atrix) theory and compares them with D-brane interactions in type IIA string theory, finding agreement in some cases but discrepancies in others.

Contribution

It provides a detailed comparison of eight-brane interactions in M(atrix) theory and string theory, highlighting agreements and discrepancies.

Findings

Agreement between M(atrix) and string theory for eight-brane interactions with 2- and 4-branes.

Discrepancy observed in interactions involving zero-branes.

Enhanced understanding of brane interactions across different theoretical frameworks.

Abstract

We consider eight-brane configurations in M(atrix) theory and compute their interaction potentials with gravitons, membranes, and four-branes. We compare these results with the interactions of D8-branes with D0-branes, D2-branes, and D4-branes in IIA string theory. We find agreement between the two approaches for eight-brane interactions with two-branes and four-branes. A discrepancy is noted in the case with zero-branes.