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

Abstract

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 $O(\sqrt{N})$. We confirm the validity of this method and demonstrate its usefulness in simplified models.

16 pages, 13 figures

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• Cosmological solutions of emergent noncommutative gravity
• Matrix Model Approach to Cosmology
• Matrix Model Cosmology in Two Space-time Dimensions
• Lorentzian Fuzzy Spheres
• Dynamical phase space from a SO(d,d) matrix model
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Cited by in corpus (3)

• Complex Langevin analysis of the space-time structure in the Lorentzian type IIB matrix model
• Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model
• Dynamical Compactification of Extra Dimensions in the Euclidean IKKT Matrix Model via Spontaneous Symmetry Breaking