Analytic and numerical study of nonperturbative formulation for superstring theory by matrix model
| Project/Area Number |
15K05046
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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) |
2015-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 行列模型 / 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 / 大規模並列計算 / ファジー球面 / エンタングルメントエントロピー / 相転移 / 繰り込み群 / フェルミオンゼロモード / ラージN体積非依存性 / 群多様体 / IIB行列模型 / 非可換空間 / 超弦理論 |
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| Outline of Final Research Achievements |
Superstring theory is the most promising candidate for a unified theory including gravity. The IIB matrix model is expected to define superstring theory nonperturbatively. I studied the model by Monte Carlo simulation with a large scale parallel computation and obtained the results which suggest that the inflationary and radiation dominated universes emerge dynamically in the model. I developed a renormalization group method that enables us to effectively obtain results for a large matrix size by simulating the model with a small matrix size. I found how the model is independent of an infrared cutoff introduced to well-define the model. To gain insights into deriving geometry from matrices, I calculated entanglement entropy in a scalar field theory on the fuzzy sphere, which is realized by a matrix model, and obtained a generalized area law for entanglement entropy. By calculating correlation functions, I also showed that the theory is renormalizable.
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Report
(4 results)
Research Products
(34 results)
