A new method for probing the late-time dynamics in the Lorentzian type IIB matrix model

Understand

The type IIB matrix model has been investigated as a possible nonperturbative formulation of superstring theory.

• In particular, it was found by Monte Carlo simulation of the Lorentzian version that the 9-dimensional rotational symmetry of the spatial matrices is broken spontaneously to the 3-dimensional one after some "critical time".
• In this paper we develop a new simulation method based on the effective theory for the submatrices corresponding to the late time.
• Using this method, one can obtain the results for $N\times N$ matrices by simulating matrices typically of the size $O(\sqrt{N})$.