Local field theory from the expanding universe at late times in the IIB matrix model

TL;DR

This paper explores how a local field theory emerges from the Lorentzian IIB matrix model at late times, potentially explaining the appearance of the Standard Model from a fundamental string theory framework.

Contribution

It demonstrates a method to derive effective local field theories for massless modes in the IIB matrix model, focusing on late-time spontaneous symmetry breaking.

Findings

Emergence of (3+1)-dimensional expanding universe from the model

Derivation of local field theory for massless modes

Insights into the origin of Standard Model features

Abstract

Recently we have shown that (3+1)-dimensional expanding universe appears dynamically and uniquely from the Lorentzian version of the IIB matrix model, which is considered as a nonperturbative formulation of superstring theory. Similarly, it is possible that the Standard Model appears uniquely at the electroweak scale from the same model at late times. In order to pursue such a possibility, we discuss how to derive the effective local field theory for the massless modes that appear at late times in the same formulation. As a concrete example, we consider the massless modes associated with the spontaneous breaking of (9+1)-dimensional Poincare symmetry and supersymmetry.