  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.
