| Project/Area Number |
10640292
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
素粒子・核・宇宙線
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| Research Institution | KEK(High Energy Accelerator research Organization) |
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Principal Investigator |
ISO Satoshi KEK, Associate, Prof, 素粒子原子核研究所, 助教授 (20242092)
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| Project Period (FY) |
1998 – 2001
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| Project Status |
Completed (Fiscal Year 2001)
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| Budget Amount *help |
¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 2001: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2000: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1999: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1998: ¥800,000 (Direct Cost: ¥800,000)
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| Keywords | Supersting / matrix model / Space time generation / noncommutativegeometry / 量子重力 / 非可換時空 / 超対称リー代数 / 重力 / 時空の不確定性 / 非可換場の理論 / type II B行列模型 / 時空の生成 / ゲージ対称性 / 一般座標不変性 |
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| Research Abstract |
The purpose of this research is to analyze the nonperturbative aspects of string theory from the matrix model point of view and derive fundamental properties of our world. In the first two years of the research, we have investigated the dynamics of eigenvalues which are considered as the extent of space-time in matrix models. In one loop calculation, we have shown that the statistical system of eigenvalues is governed by the system of branched polymer whose Haussdorf dimension is four. Although the distribution is fractal, the coincidence of the fractal dimension with the dimension of our world suggests the correctness of our approach. In the latter half of the research, we have shown that the matrix model has close relationship with the noncommutaative nature of space-time, in particular, noncommutative geometry which had been investigated by mathematicians. It is an indication that our model can describe gravity. We have also tried to show the background independence of matrix models. This research is still under investigations.
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