Matrix Model on Z-Orbifold

TL;DR

This paper studies a six-dimensional compactification of the type IIA matrix model on a Z-orbifold, demonstrating explicit N=1 supersymmetry and constructing the corresponding action with a Z3 symmetry.

Contribution

It introduces a Z3 symmetry in the matrix model compactification, deriving the action on the Z-orbifold with explicit N=1 supersymmetry.

Findings

Explicit Z3 symmetric action for the Z-orbifold compactification

Demonstration of N=1 supersymmetry in the matrix model

Framework for further studies of orbifold compactifications

Abstract

Six dimensional compactification of the type IIA matrix model on the ${\bf Z}$-orbifold is studied. Introducing a ${\bf Z}_{3}$ symmetry properly on the three mirror images of fields in the $N$-body system of the supersymmetric D0 particles, the action of the Matrix model compactified on the ${\bf Z}$-orbifold is obtained. In this matrix model ${\cal N}=1$ supersymmetry is explicitly demonstrated.