(3+1)-dimensional expanding universe from a Lorentzian matrix model for superstring theory in (9+1)-dimensions

Abstract

We study the Lorentzian version of the type IIB matrix model as a nonperturbative formulation of superstring theory in (9+1)-dimensions. Monte Carlo results show that not only space but also time emerges dynamically in this model. Furthermore, the real-time dynamics extracted from the matrices turns out to be remarkable: 3 out of 9 spatial directions start to expand at some critical time. This can be interpreted as the birth of our Universe.

Comments: 12 pages, 6 figures, talk given at the conference "Progress in Quantum Field Theory and String Theory", Osaka, Japan, 3-7 April, 2012