Supersymmetry and Membrane Interactions in M(atrix) Theory

TL;DR

This paper demonstrates that M(atrix) theory accurately reproduces the long-distance interactions between membranes and gravitons, aligning with Type IIA string theory predictions due to near-supersymmetry at large boosts.

Contribution

It provides explicit calculations of membrane-graviton potentials in M(atrix) theory and shows their agreement with string theory results, confirming the theory's validity in these regimes.

Findings

Potential calculations match Type IIA string theory results.

Near-supersymmetry at large boosts explains potential agreement.

M(atrix) theory reproduces correct long-distance behavior.

Abstract

We calculate the potential between various configurations of membranes and gravitons in M(atrix) theory. The computed potentials agree with the short distance potentials between corresponding 2-branes and 0-brane configurations in Type IIA string theory, bound to a large number of 0-branes to account for the boost to the infinite momentum frame. We show that, due to the large boost, these type IIA configurations are almost supersymmetric, so that the short and long distance potentials actually agree. Thus the M(atrix) theory is able to reproduce correct long distance behavior in these cases.