Matrix Model Cosmology in Two Space-time Dimensions

TL;DR

This paper explores classical solutions in a three-dimensional matrix model that naturally produce various two-dimensional universe geometries, revealing that tachyonic modes are common in these cosmological solutions.

Contribution

It demonstrates the emergence of different 2D universe geometries from the matrix model and analyzes the presence of tachyonic modes as a generic feature.

Findings

Closed, open, and static 2D universes emerge in the model.

Tachyonic modes are a common feature of these solutions.

Abstract

We examine solutions to the classical IKKT matrix model equations in three space-time dimensions. Closed, open and static two-dimensional universes naturally emerge from such models in the commutative limit. We show that tachyonic modes are a generic feature of these cosmological solutions.