Study of cosmology using matrix model for superstring theory
| Project/Area Number |
24540264
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Shizuoka University |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| 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 / ファジー球面 / エンタングルメントエントロピー / ラージN繰り込み群 / 標準模型 / ハイブリッド並列計算 / IIB行列模型 / カイラルフェルミオン / 3世代 / AdS/CFT対応 / N=4超対称ヤン．ミルズ理論 / plane wave行列模型 |
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| 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.
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Report
(5 results)
Research Products
(42 results)
