The emergence of expanding space-time in the Lorentzian type IIB matrix model with a novel regularization

Abstract

The Lorentzian type IIB matrix model is a promising candidate for a non-perturbative formulation of superstring theory. However, it was recently found that a Euclidean space-time appears in the conventional large-$N$ limit. In this work, we study the model with a Lorentz invariant mass term which can be considered as an IR regulator. By performing complex Langevin simulations to overcome the sign problem, we observe the emergence of expanding space-time with Lorentzian signature.

13 pages, 9 figures, proceedings of Corfu Summer Institute 2022 "School and Workshops on Elementary Particle Physics and Gravity"