2010 Fiscal Year Final Research Report
Nonperturbative dynamics of string theory via matrix models and gauge theories
| Project/Area Number |
19540294
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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 |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Shizuoka University (2008-2010)
Osaka University (2007) |
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Principal Investigator |
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| Project Period (FY) |
2007 – 2010
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| Keywords | 行列模型 / ラージN還元 / N=4超対称ヤン・ミルズ理論 / チャーン・サイモン理論 / AdS/CFT対応 / ゲージ重力対応 |
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| Research Abstract |
The large-N reduction asserts that the planar limit of gauge theory is described by the matrix model obtained by its dimensional reduction. I extended it to the case of gauge theory on curved space. By using this result, I constructed a nonperturbative formulation of N=4 super Yang-Mills theory, and tested the AdS/CFT correspondence. This extension of the large-N reduction is also expected to play a crucial role in future work on the IIB matrix model, which is considered to be a nonperturbative formulation of superstring theory. Furthermore, I found that expanding(3+1)-dimensional universe appears dynamically in the IIB matrix model. This result is expected to give answers to the questions why we live in(3+1)-dimensional space-time and how our universe begins.
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