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The type IIB matrix model is a conjectured nonperturbative formulation ofsuperstring theory. Recently the Lorentzian version of the model has beenstudied by Monte Carlo simulation, and it has been shown that only three out ofnine spatial directions start to expand after a critical time. We extend thiswork by investigating the expanding behavior for much longer time. We find thatthe 3d space expands exponentially for some period of time, which may beinterpreted as inflation. We also simulate a simplified model, which isexpected to capture some qualitative features of the original model at muchlater times. We observe that the exponential expansion eventually changes intoa power-law t^(1/2) behavior, which agrees with the expanding behavior of theFriedmann-Robertson-Walker (FRW) universe in the radiation dominated era.

Monte Carlo studies on the expanding behavior of the early universe in the Lorentzian type IIB matrix model