Study of cosmology using matrix model for superstring theory

2015 Fiscal Year Final Research Report

• Project/Area Number: 24540264
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Shizuoka University
• Principal Investigator: Tsuchiya Asato 静岡大学, 理学部, 准教授 (20294150)
• Project Period (FY): 2012-04-01 – 2016-03-31
• Keywords: 超弦理論 / 行列模型 / 宇宙論 / インフレーション宇宙 / 輻射優勢宇宙 / モンテカルロシミュレーション / ハイブリッド並列化

Outline of Final Research Achievements

I studied the IIB matrix model which is expected to give a nonperturbative formulation of superstring theory. I had already showed that the SO(9) symmetry is spontaneously broken down to the SO(3) symmetry after a critical time in the matrix model. This can be interpreted as dynamical emergence of (3+1)-dimensional expanding universe. In this study, I proposed two simplified models which describe early and late times effectively, respectively, and showed that expanding behavior in each model agrees with that in cosmology. As a classical solution of the matrix model are dominant at late times, I examined the classical solutions systematically and found solutions that naturally solve the cosmological constant problem. Moreover, I studied mechanism that the Standard Model is realized in the matrix model.

Free Research Field

素粒子論