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

• Published in: Progress of theoretical and experimental physics Vol. 2017; no. 8
• Main Authors: Azuma, Takehiro, Ito, Yuta, Nishimura, Jun, Tsuchiya, Asato
• Format: Journal Article
• Language: English
• Published: Oxford University Press 01.08.2017
• Subjects: B25
• ISSN: 2050-3911; 2050-3911
• DOI: 10.1093/ptep/ptx106

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 9D rotational symmetry of the spatial matrices is broken spontaneously to the 3D 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.