A comment on the $R^4$-coupling in (M)atrix Theory

TL;DR

This paper discusses how an $R^4$ correction in eleven-dimensional supergravity might influence the five-loop effective Lagrangian of two moving D0-branes within Matrix theory, based on scaling arguments.

Contribution

It provides a theoretical analysis linking $R^4$-terms in supergravity to higher-loop corrections in Matrix theory, offering insights into quantum gravity effects.

Findings

$R^4$-term affects five-loop D0-brane interactions

Scaling arguments connect supergravity corrections to Matrix theory

Predicted corrections could be observable in effective Lagrangian

Abstract

By scaling arguments we show that the presence of a $R^4$-term in the eleven dimensional supergravity effective lagrangian, if it is visible in (M)atrix theory, should produce a correction to the five-loops effective lagrangian of two moving D0-branes.