The emergence of expanding space-time in a novel large-$N$ limit of the Lorentzian type IIB matrix model

Abstract

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

Comments: 10 pages, 8 figures, Contribution to the 39th International Symposium on Lattice Field theory (LATTICE2022), 8th-13th August, 2022, Bonn, Germany; (v2) reference added