late times in the IIB matrix model

We have recently shown that a (3 + 1)-dimensional expanding universe appears dynamically and uniquely from the Lorentzian version of the IIB matrix model, which is considered as a non-perturbative 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 pur-sue 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 Poincaré symmetry and supersymmetry. Subject Index B2