M-theory on a Time-dependent Plane-wave

TL;DR

This paper develops a matrix model on a time-dependent plane-wave background with high supersymmetry, analyzing its superalgebra, vacuum energy, and classical solutions like gravitons and fuzzy geometries.

Contribution

It introduces a novel matrix model on a homogeneous, time-dependent background with 20 supersymmetries, exploring its supersymmetry structure and classical solutions.

Findings

Superalgebra of the model is explicitly calculated.

Vacuum energy of the abelian sector is determined.

Classical solutions such as graviton, fuzzy sphere, and hyperboloid are found.

Abstract

We propose a matrix model on a homogeneous plane-wave background with 20 supersymmetries. This background is anti-Mach type and is equivalent to the time-dependent background. We study supersymmetries in this theory and calculate the superalgebra. The vacuum energy of the abelian part is also calculated. In addition we find classical solutions such as graviton solution, fuzzy sphere and hyperboloid.