M(embrane) theory on $T^9$

TL;DR

This paper proposes an algebraic framework for the $T^9$ compactification of M(embrane) theory, extending the algebraic approach used in M-theory to a higher-dimensional setting.

Contribution

It introduces a novel algebraic structure underlying the $T^9$ compactification of M(embrane) theory, expanding the mathematical tools for understanding M-theory.

Findings

Proposes an algebraic structure for $T^9$ compactification.

Connects algebraic approaches to M-theory with higher-dimensional cases.

Lays groundwork for future mathematical formulations of M(embrane) theory.

Abstract

An `algebraic' approach to M-theory is briefly reviewed, and a proposal is made for a similar algebraic structure underlying the $T^9$ compactification of `M(embrane) theory', i.e. the M(atrix) model with area-preserving diffeomorphism gauge group.