M(atrix) Theory on $T^6$ and a m(atrix) Theory Description of KK Monopoles

TL;DR

This paper explores M(atrix) theory compactified on a six-dimensional torus, describing KK monopoles via large N limits, analyzing BPS states, and proposing a decoupled world volume theory with eight supercharges.

Contribution

It introduces a novel formulation of the world volume theory of KK monopoles in eleven dimensions as a large N matrix quantum mechanics with eight supercharges.

Findings

Describes M(atrix) theory on T^6 using large N limits.

Analyzes BPS states forming E_6 multiplets.

Proposes a decoupled world volume theory for KK monopoles.

Abstract

We discuss M(atrix) theory compactification on T^6. This theory is described by the large N limit of the world volume theory, of N Kaluza-Klein monopoles in eleven dimensions. We discuss the BPS states, and their arrangement in E_6 multiplets. We then propose the formulation of the world volume theory of KK monopoles in eleven dimensions that decouples from the bulk. This is given by a large N_1 m(atrix) theory with eight supercharges, corresponding to the quantum mechanics theory of N_1 zero-branes inside the Type IIA Kaluza-Klein monopole. Various limits of the construction are considered.