Matrix Description of M-theory on $T^5$ and $T^5/Z_2$

TL;DR

This paper introduces new non-local quantum theories in six dimensions with string-like excitations, providing a Matrix theory description of M-theory on $T^5$ and $T^5/Z_2$ that is U-duality invariant.

Contribution

It constructs four infinite series of non-local 6D quantum theories and offers a Matrix theory framework for M-theory compactified on $T^5$ and $T^5/Z_2$.

Findings

Four new series of 6D quantum theories with super-Poincare symmetry.

A well-defined Matrix theory description of M-theory on $T^5$ and $T^5/Z_2$.

Manifest U-duality invariance in the Matrix theory formulation.

Abstract

We present four infinite series of new quantum theories with super-Poincare symmetry in six dimensions, which are not local quantum field theories. They have string like excitations but the string coupling is of order one. Compactifying these theories on $T^5$ we find a Matrix theory description of M theory on $T^5$ and on $T^5/\IZ_2$, which is well defined and is manifestly U-duality invariant.