On The M(atrix)-Model For M-Theory On $T^6$

TL;DR

This paper explores the conditions under which a M(atrix)-model could accurately describe M-theory compactified on a six-dimensional torus, focusing on the low-energy limits and supersymmetry requirements for consistency.

Contribution

It proposes a new perspective on the M(atrix)-model for M-theory on T^6, suggesting a possible 5+1D or 1+1D supersymmetric model as a consistent description.

Findings

Identifies a limit where the model becomes a 6+1D theory.

Suggests a 5+1D or (0,4) supersymmetric 1+1D model as candidates.

Discusses the role of $E_{6(6)}$ symmetry in the model.

Abstract

We study consistency conditions on a M(atrix)-model which would describe M-theory on $T^6$. We argue that there is a limit in moduli space for which it becomes a 6+1D theory and study the low-energy description of extended objects in the decompactified limit. We discuss the requirements from a M(atrix)-model which would describe such an $E_{6(6)}$ theory. We suggest that it could be a 5+1D theory and that a 1+1D theory with $(0,4)$ supersymmetry might be the M(atrix)-model for the M(atrix)-model of the $E_{6(6)}$ theory.