Speaker
Description
The type IIB matrix model, also known as the IKKT model, is a promising candidate for the non-perturbative formulation of the string theory. Its Lorentzian version, in which the indices are contracted using the Lorentzian metric, has a sign problem stemming from e^{iS} in the partition function (where S is the action). It has turned out that the Lorentzian version is equivalent to the Euclidean version, in which the SO(10) rotational symmetry is spontaneously broken to SO(3), under the Wick rotation as it is. This leads us to add the Lorentz-invariant mass term to the Lorentzian version of the type IIB matrix model. The model we study involves a sign problem, and we perform numerical simulations based on the complex Langevin method, a stochastic process for complexified variables. We discuss the possibility of the emergence of the (3+1)-dimensional expanding universe.
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