Unitary matrix model for toroidal compactifications of M theory

TL;DR

This paper introduces a unitary matrix model that captures the dynamics of M theory compactified on a torus, reproducing D-particle motion and membrane states with wrapping, at finite N.

Contribution

It proposes a novel large-N matrix model for M theory on toroidal spaces, including membrane states with wrapping at finite N.

Findings

Reproduces D-particle motion on toroidal compactification

Admits membrane states with nonzero wrapping at finite N

Provides a matrix formulation for M theory with toroidal topology

Abstract

A unitary matrix model is proposed as the large-N matrix formulation of M theory on flat space with toroidal topology. The model reproduces the motion of elementary D-particles on the compact space, and admits membrane states with nonzero wrapping around nontrivial 2-tori even at finite N.