The Time-dependent Supersymmetric Configurations in M-theory and Matrix Models

TL;DR

This paper explores time-dependent supersymmetric solutions in M-theory and their matrix models, identifying a broad class of 11D supergravity solutions with specific supersymmetry properties and defining corresponding Matrix models.

Contribution

It introduces a large class of 11D supergravity solutions with half-supersymmetry and constructs matrix models in these backgrounds using DLCQ.

Findings

Found 11D supergravity solutions with 16 supersymmetries.

Showed these configurations generally lack supernumerary supersymmetries.

Defined matrix models in these backgrounds via DLCQ.

Abstract

In this paper, we study the half-supersymmetric time-dependent configurations in M-theory and their matrix models. We find a large class of 11D supergravity solutions, which keeps sixteen supersymmetries. Furthermore, we investigate the isometries of these configurations and show that in general these configurations have no supernumerary supersymmetries. And also we define the Matrix models in these backgrounds following Discrete Light-Cone Quantization (DLCQ) prescription.