Tiny Graviton Matrix Theory On Time-Dependent Background

TL;DR

This paper develops a tiny graviton matrix model for type IIB string theory in a time-dependent plane-wave background with null dilaton, analyzing its vacuum, spectrum, and fuzzy sphere solutions, revealing string emergence at late times.

Contribution

It introduces a novel tiny graviton matrix model for a specific time-dependent background, including analysis of vacuum states and fuzzy sphere dynamics.

Findings

Non-Abelian fuzzy degrees vanish at late times.

Perturbative strings emerge as fuzzy degrees disappear.

Vacuum and excitation spectrum characterized for null dilaton background.

Abstract

In this article we construct a tiny graviton matrix model for type IIB string theory on a plane-wave background with null dilaton. For the linear null dilaton case, we analyze its vacuum and the excitation spectrum around the vacuum, and discuss the time-dependent fuzzy three-sphere solutions and their evolution. It turns out that at very late time the non-Abelian fuzzy degrees of freedom disappear, which indicates the appearance of perturbative strings.